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Finding the Fourth Proportional to 10,520.20, 15,747.90 and 8,641

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Solution

The fourth proportional to 10,520.20, 15,747.90 and 8,641 is: 12,934.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,520.20 : 15,747.90 = 8,641 : x
  2. Step 2: Convert to fraction form
    10,520.20/15,747.90 = 8,641/x
  3. Step 3: Cross multiply
    10,520.20x = 15,747.90 × 8,641
  4. Step 4: Simplify right side
    10,520.20x = 136,077,603.90
  5. Step 5: Solve for x
    x = 136,077,603.90/10,520.20
  6. Step 6: Final answer
    x = 12,934.89

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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.