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Finding the Fourth Proportional to 21,657.61, 32,489.82 and 9,177.71

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Solution

The fourth proportional to 21,657.61, 32,489.82 and 9,177.71 is: 13,768.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,657.61 : 32,489.82 = 9,177.71 : x
  2. Step 2: Convert to fraction form
    21,657.61/32,489.82 = 9,177.71/x
  3. Step 3: Cross multiply
    21,657.61x = 32,489.82 × 9,177.71
  4. Step 4: Simplify right side
    21,657.61x = 298,182,145.91
  5. Step 5: Solve for x
    x = 298,182,145.91/21,657.61
  6. Step 6: Final answer
    x = 13,768.01

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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.