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Finding the Fourth Proportional to 9,149.67, 13,699.80 and 4,757.90

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Solution

The fourth proportional to 9,149.67, 13,699.80 and 4,757.90 is: 7,124.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.67 : 13,699.80 = 4,757.90 : x
  2. Step 2: Convert to fraction form
    9,149.67/13,699.80 = 4,757.90/x
  3. Step 3: Cross multiply
    9,149.67x = 13,699.80 × 4,757.90
  4. Step 4: Simplify right side
    9,149.67x = 65,182,209.92
  5. Step 5: Solve for x
    x = 65,182,209.92/9,149.67
  6. Step 6: Final answer
    x = 7,124.00

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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.