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Finding the Fourth Proportional to 21,645, 29,882.50 and 16,500.11

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Solution

The fourth proportional to 21,645, 29,882.50 and 16,500.11 is: 22,779.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,645 : 29,882.50 = 16,500.11 : x
  2. Step 2: Convert to fraction form
    21,645/29,882.50 = 16,500.11/x
  3. Step 3: Cross multiply
    21,645x = 29,882.50 × 16,500.11
  4. Step 4: Simplify right side
    21,645x = 493,064,346.41
  5. Step 5: Solve for x
    x = 493,064,346.41/21,645
  6. Step 6: Final answer
    x = 22,779.60

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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.