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Finding the Fourth Proportional to 10,438.69, 15,647.10 and 6,489.94

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Solution

The fourth proportional to 10,438.69, 15,647.10 and 6,489.94 is: 9,728.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.69 : 15,647.10 = 6,489.94 : x
  2. Step 2: Convert to fraction form
    10,438.69/15,647.10 = 6,489.94/x
  3. Step 3: Cross multiply
    10,438.69x = 15,647.10 × 6,489.94
  4. Step 4: Simplify right side
    10,438.69x = 101,548,740.17
  5. Step 5: Solve for x
    x = 101,548,740.17/10,438.69
  6. Step 6: Final answer
    x = 9,728.11

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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.