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Finding the Fourth Proportional to 10,425.72, 15,627.60 and 6,477

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Solution

The fourth proportional to 10,425.72, 15,627.60 and 6,477 is: 9,708.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,425.72 : 15,627.60 = 6,477 : x
  2. Step 2: Convert to fraction form
    10,425.72/15,627.60 = 6,477/x
  3. Step 3: Cross multiply
    10,425.72x = 15,627.60 × 6,477
  4. Step 4: Simplify right side
    10,425.72x = 101,219,965.20
  5. Step 5: Solve for x
    x = 101,219,965.20/10,425.72
  6. Step 6: Final answer
    x = 9,708.68

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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.