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Finding the Fourth Proportional to 21,052.98, 29,053.17 and 12,099.87

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Solution

The fourth proportional to 21,052.98, 29,053.17 and 12,099.87 is: 16,697.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,052.98 : 29,053.17 = 12,099.87 : x
  2. Step 2: Convert to fraction form
    21,052.98/29,053.17 = 12,099.87/x
  3. Step 3: Cross multiply
    21,052.98x = 29,053.17 × 12,099.87
  4. Step 4: Simplify right side
    21,052.98x = 351,539,580.09
  5. Step 5: Solve for x
    x = 351,539,580.09/21,052.98
  6. Step 6: Final answer
    x = 16,697.85

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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.