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Finding the Fourth Proportional to 10,577.40, 15,869.88 and 6,425.88

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Solution

The fourth proportional to 10,577.40, 15,869.88 and 6,425.88 is: 9,641.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.40 : 15,869.88 = 6,425.88 : x
  2. Step 2: Convert to fraction form
    10,577.40/15,869.88 = 6,425.88/x
  3. Step 3: Cross multiply
    10,577.40x = 15,869.88 × 6,425.88
  4. Step 4: Simplify right side
    10,577.40x = 101,977,944.49
  5. Step 5: Solve for x
    x = 101,977,944.49/10,577.40
  6. Step 6: Final answer
    x = 9,641.12

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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.