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Finding the Fourth Proportional to 8,641.68, 12,963.32 and 7,164.24

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Solution

The fourth proportional to 8,641.68, 12,963.32 and 7,164.24 is: 10,747.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,641.68 : 12,963.32 = 7,164.24 : x
  2. Step 2: Convert to fraction form
    8,641.68/12,963.32 = 7,164.24/x
  3. Step 3: Cross multiply
    8,641.68x = 12,963.32 × 7,164.24
  4. Step 4: Simplify right side
    8,641.68x = 92,872,335.68
  5. Step 5: Solve for x
    x = 92,872,335.68/8,641.68
  6. Step 6: Final answer
    x = 10,747.02

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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.