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Finding the Fourth Proportional to 10,489.62, 15,727.14 and 3,914.04

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Solution

The fourth proportional to 10,489.62, 15,727.14 and 3,914.04 is: 5,868.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.62 : 15,727.14 = 3,914.04 : x
  2. Step 2: Convert to fraction form
    10,489.62/15,727.14 = 3,914.04/x
  3. Step 3: Cross multiply
    10,489.62x = 15,727.14 × 3,914.04
  4. Step 4: Simplify right side
    10,489.62x = 61,556,655.05
  5. Step 5: Solve for x
    x = 61,556,655.05/10,489.62
  6. Step 6: Final answer
    x = 5,868.34

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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.