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Finding the Fourth Proportional to 7,432.64, 11,151.92 and 2,816

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Solution

The fourth proportional to 7,432.64, 11,151.92 and 2,816 is: 4,225.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,432.64 : 11,151.92 = 2,816 : x
  2. Step 2: Convert to fraction form
    7,432.64/11,151.92 = 2,816/x
  3. Step 3: Cross multiply
    7,432.64x = 11,151.92 × 2,816
  4. Step 4: Simplify right side
    7,432.64x = 31,403,806.72
  5. Step 5: Solve for x
    x = 31,403,806.72/7,432.64
  6. Step 6: Final answer
    x = 4,225.12

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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.