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Finding the Fourth Proportional to 6,432.80, 9,639.92 and 5,737.76

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Solution

The fourth proportional to 6,432.80, 9,639.92 and 5,737.76 is: 8,598.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.80 : 9,639.92 = 5,737.76 : x
  2. Step 2: Convert to fraction form
    6,432.80/9,639.92 = 5,737.76/x
  3. Step 3: Cross multiply
    6,432.80x = 9,639.92 × 5,737.76
  4. Step 4: Simplify right side
    6,432.80x = 55,311,547.38
  5. Step 5: Solve for x
    x = 55,311,547.38/6,432.80
  6. Step 6: Final answer
    x = 8,598.36

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1.5x scale

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.