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Finding the Fourth Proportional to 10,229.64, 15,337.30 and 3,984.40

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Solution

The fourth proportional to 10,229.64, 15,337.30 and 3,984.40 is: 5,973.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,229.64 : 15,337.30 = 3,984.40 : x
  2. Step 2: Convert to fraction form
    10,229.64/15,337.30 = 3,984.40/x
  3. Step 3: Cross multiply
    10,229.64x = 15,337.30 × 3,984.40
  4. Step 4: Simplify right side
    10,229.64x = 61,109,938.12
  5. Step 5: Solve for x
    x = 61,109,938.12/10,229.64
  6. Step 6: Final answer
    x = 5,973.81

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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.