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Finding the Fourth Proportional to 1,645.03, 2,270.28 and 937.10

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Solution

The fourth proportional to 1,645.03, 2,270.28 and 937.10 is: 1,293.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.03 : 2,270.28 = 937.10 : x
  2. Step 2: Convert to fraction form
    1,645.03/2,270.28 = 937.10/x
  3. Step 3: Cross multiply
    1,645.03x = 2,270.28 × 937.10
  4. Step 4: Simplify right side
    1,645.03x = 2,127,468.53
  5. Step 5: Solve for x
    x = 2,127,468.53/1,645.03
  6. Step 6: Final answer
    x = 1,293.27

Related Problems

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Half scale
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Double scale
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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.