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Finding the Fourth Proportional to 21,990.90, 32,978.16 and 8,838.84

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Solution

The fourth proportional to 21,990.90, 32,978.16 and 8,838.84 is: 13,254.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,990.90 : 32,978.16 = 8,838.84 : x
  2. Step 2: Convert to fraction form
    21,990.90/32,978.16 = 8,838.84/x
  3. Step 3: Cross multiply
    21,990.90x = 32,978.16 × 8,838.84
  4. Step 4: Simplify right side
    21,990.90x = 291,488,679.73
  5. Step 5: Solve for x
    x = 291,488,679.73/21,990.90
  6. Step 6: Final answer
    x = 13,254.97

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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.