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Finding the Fourth Proportional to 10,307.61, 15,472.35 and 6,414.75

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Solution

The fourth proportional to 10,307.61, 15,472.35 and 6,414.75 is: 9,628.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,307.61 : 15,472.35 = 6,414.75 : x
  2. Step 2: Convert to fraction form
    10,307.61/15,472.35 = 6,414.75/x
  3. Step 3: Cross multiply
    10,307.61x = 15,472.35 × 6,414.75
  4. Step 4: Simplify right side
    10,307.61x = 99,251,257.16
  5. Step 5: Solve for x
    x = 99,251,257.16/10,307.61
  6. Step 6: Final answer
    x = 9,628.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.