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Finding the Fourth Proportional to 22,139.53, 33,222.96 and 12,798

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Solution

The fourth proportional to 22,139.53, 33,222.96 and 12,798 is: 19,204.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,139.53 : 33,222.96 = 12,798 : x
  2. Step 2: Convert to fraction form
    22,139.53/33,222.96 = 12,798/x
  3. Step 3: Cross multiply
    22,139.53x = 33,222.96 × 12,798
  4. Step 4: Simplify right side
    22,139.53x = 425,187,442.08
  5. Step 5: Solve for x
    x = 425,187,442.08/22,139.53
  6. Step 6: Final answer
    x = 19,204.90

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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.