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Finding the Fourth Proportional to 10,469.10, 15,740.10 and 8,865.30

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Solution

The fourth proportional to 10,469.10, 15,740.10 and 8,865.30 is: 13,328.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.10 : 15,740.10 = 8,865.30 : x
  2. Step 2: Convert to fraction form
    10,469.10/15,740.10 = 8,865.30/x
  3. Step 3: Cross multiply
    10,469.10x = 15,740.10 × 8,865.30
  4. Step 4: Simplify right side
    10,469.10x = 139,540,708.53
  5. Step 5: Solve for x
    x = 139,540,708.53/10,469.10
  6. Step 6: Final answer
    x = 13,328.82

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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.