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Finding the Fourth Proportional to 27,184.68, 40,784.31 and 21,658.86

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Solution

The fourth proportional to 27,184.68, 40,784.31 and 21,658.86 is: 32,494.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,184.68 : 40,784.31 = 21,658.86 : x
  2. Step 2: Convert to fraction form
    27,184.68/40,784.31 = 21,658.86/x
  3. Step 3: Cross multiply
    27,184.68x = 40,784.31 × 21,658.86
  4. Step 4: Simplify right side
    27,184.68x = 883,341,660.49
  5. Step 5: Solve for x
    x = 883,341,660.49/27,184.68
  6. Step 6: Final answer
    x = 32,494.10

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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.