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Finding the Fourth Proportional to 21,053.50, 29,052.80 and 12,098.95

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Solution

The fourth proportional to 21,053.50, 29,052.80 and 12,098.95 is: 16,695.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,053.50 : 29,052.80 = 12,098.95 : x
  2. Step 2: Convert to fraction form
    21,053.50/29,052.80 = 12,098.95/x
  3. Step 3: Cross multiply
    21,053.50x = 29,052.80 × 12,098.95
  4. Step 4: Simplify right side
    21,053.50x = 351,508,374.56
  5. Step 5: Solve for x
    x = 351,508,374.56/21,053.50
  6. Step 6: Final answer
    x = 16,695.96

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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.