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Finding the Fourth Proportional to 21,658.91, 32,489.28 and 6,867.50

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Solution

The fourth proportional to 21,658.91, 32,489.28 and 6,867.50 is: 10,301.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,658.91 : 32,489.28 = 6,867.50 : x
  2. Step 2: Convert to fraction form
    21,658.91/32,489.28 = 6,867.50/x
  3. Step 3: Cross multiply
    21,658.91x = 32,489.28 × 6,867.50
  4. Step 4: Simplify right side
    21,658.91x = 223,119,967.95
  5. Step 5: Solve for x
    x = 223,119,967.95/21,658.91
  6. Step 6: Final answer
    x = 10,301.54

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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.