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Finding the Fourth Proportional to 7,624.52, 11,431.10 and 5,152.40

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Solution

The fourth proportional to 7,624.52, 11,431.10 and 5,152.40 is: 7,724.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,624.52 : 11,431.10 = 5,152.40 : x
  2. Step 2: Convert to fraction form
    7,624.52/11,431.10 = 5,152.40/x
  3. Step 3: Cross multiply
    7,624.52x = 11,431.10 × 5,152.40
  4. Step 4: Simplify right side
    7,624.52x = 58,897,599.64
  5. Step 5: Solve for x
    x = 58,897,599.64/7,624.52
  6. Step 6: Final answer
    x = 7,724.76

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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.