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Finding the Fourth Proportional to 6,432, 8,876.16 and 4,572.24

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Solution

The fourth proportional to 6,432, 8,876.16 and 4,572.24 is: 6,309.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432 : 8,876.16 = 4,572.24 : x
  2. Step 2: Convert to fraction form
    6,432/8,876.16 = 4,572.24/x
  3. Step 3: Cross multiply
    6,432x = 8,876.16 × 4,572.24
  4. Step 4: Simplify right side
    6,432x = 40,583,933.80
  5. Step 5: Solve for x
    x = 40,583,933.80/6,432
  6. Step 6: Final answer
    x = 6,309.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.