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Finding the Fourth Proportional to 11,489.54, 15,846.89 and 9,898.92

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Solution

The fourth proportional to 11,489.54, 15,846.89 and 9,898.92 is: 13,653.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,489.54 : 15,846.89 = 9,898.92 : x
  2. Step 2: Convert to fraction form
    11,489.54/15,846.89 = 9,898.92/x
  3. Step 3: Cross multiply
    11,489.54x = 15,846.89 × 9,898.92
  4. Step 4: Simplify right side
    11,489.54x = 156,867,046.86
  5. Step 5: Solve for x
    x = 156,867,046.86/11,489.54
  6. Step 6: Final answer
    x = 13,653.04

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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.