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Finding the Fourth Proportional to 10,324.56, 15,474.15 and 4,770.39

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Solution

The fourth proportional to 10,324.56, 15,474.15 and 4,770.39 is: 7,149.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,324.56 : 15,474.15 = 4,770.39 : x
  2. Step 2: Convert to fraction form
    10,324.56/15,474.15 = 4,770.39/x
  3. Step 3: Cross multiply
    10,324.56x = 15,474.15 × 4,770.39
  4. Step 4: Simplify right side
    10,324.56x = 73,817,730.42
  5. Step 5: Solve for x
    x = 73,817,730.42/10,324.56
  6. Step 6: Final answer
    x = 7,149.72

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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.