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Finding the Fourth Proportional to 3,687.34, 5,092.13 and 3,153.13

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Solution

The fourth proportional to 3,687.34, 5,092.13 and 3,153.13 is: 4,354.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.34 : 5,092.13 = 3,153.13 : x
  2. Step 2: Convert to fraction form
    3,687.34/5,092.13 = 3,153.13/x
  3. Step 3: Cross multiply
    3,687.34x = 5,092.13 × 3,153.13
  4. Step 4: Simplify right side
    3,687.34x = 16,056,143.02
  5. Step 5: Solve for x
    x = 16,056,143.02/3,687.34
  6. Step 6: Final answer
    x = 4,354.40

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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.