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Finding the Fourth Proportional to 1,572.54, 2,171.19 and 983.34

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Solution

The fourth proportional to 1,572.54, 2,171.19 and 983.34 is: 1,357.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.54 : 2,171.19 = 983.34 : x
  2. Step 2: Convert to fraction form
    1,572.54/2,171.19 = 983.34/x
  3. Step 3: Cross multiply
    1,572.54x = 2,171.19 × 983.34
  4. Step 4: Simplify right side
    1,572.54x = 2,135,017.97
  5. Step 5: Solve for x
    x = 2,135,017.97/1,572.54
  6. Step 6: Final answer
    x = 1,357.69

Related Problems

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Half scale
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Double scale
Find fourth proportional to 1,573.54, 2,172.57 and 984.34
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.