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Finding the Fourth Proportional to 2,116.40, 3,174.51 and 883.49

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Solution

The fourth proportional to 2,116.40, 3,174.51 and 883.49 is: 1,325.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.40 : 3,174.51 = 883.49 : x
  2. Step 2: Convert to fraction form
    2,116.40/3,174.51 = 883.49/x
  3. Step 3: Cross multiply
    2,116.40x = 3,174.51 × 883.49
  4. Step 4: Simplify right side
    2,116.40x = 2,804,647.84
  5. Step 5: Solve for x
    x = 2,804,647.84/2,116.40
  6. Step 6: Final answer
    x = 1,325.20

Related Problems

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Half scale
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Double scale
Find fourth proportional to 2,117.40, 3,176.01 and 884.49
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.