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Finding the Fourth Proportional to 9,149.72, 13,724.78 and 2,909.72

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Solution

The fourth proportional to 9,149.72, 13,724.78 and 2,909.72 is: 4,364.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.72 : 13,724.78 = 2,909.72 : x
  2. Step 2: Convert to fraction form
    9,149.72/13,724.78 = 2,909.72/x
  3. Step 3: Cross multiply
    9,149.72x = 13,724.78 × 2,909.72
  4. Step 4: Simplify right side
    9,149.72x = 39,935,266.86
  5. Step 5: Solve for x
    x = 39,935,266.86/9,149.72
  6. Step 6: Final answer
    x = 4,364.64

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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.