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Finding the Fourth Proportional to 6,432.16, 9,691.48 and 5,816.56

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Solution

The fourth proportional to 6,432.16, 9,691.48 and 5,816.56 is: 8,763.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.16 : 9,691.48 = 5,816.56 : x
  2. Step 2: Convert to fraction form
    6,432.16/9,691.48 = 5,816.56/x
  3. Step 3: Cross multiply
    6,432.16x = 9,691.48 × 5,816.56
  4. Step 4: Simplify right side
    6,432.16x = 56,371,074.91
  5. Step 5: Solve for x
    x = 56,371,074.91/6,432.16
  6. Step 6: Final answer
    x = 8,763.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.