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Finding the Fourth Proportional to 5,164.30, 7,747.17 and 1,877.02

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Solution

The fourth proportional to 5,164.30, 7,747.17 and 1,877.02 is: 2,815.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.30 : 7,747.17 = 1,877.02 : x
  2. Step 2: Convert to fraction form
    5,164.30/7,747.17 = 1,877.02/x
  3. Step 3: Cross multiply
    5,164.30x = 7,747.17 × 1,877.02
  4. Step 4: Simplify right side
    5,164.30x = 14,541,593.03
  5. Step 5: Solve for x
    x = 14,541,593.03/5,164.30
  6. Step 6: Final answer
    x = 2,815.79

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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.