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Finding the Fourth Proportional to 27,045, 40,557.12 and 12,996.20

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Solution

The fourth proportional to 27,045, 40,557.12 and 12,996.20 is: 19,489.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,045 : 40,557.12 = 12,996.20 : x
  2. Step 2: Convert to fraction form
    27,045/40,557.12 = 12,996.20/x
  3. Step 3: Cross multiply
    27,045x = 40,557.12 × 12,996.20
  4. Step 4: Simplify right side
    27,045x = 527,088,442.94
  5. Step 5: Solve for x
    x = 527,088,442.94/27,045
  6. Step 6: Final answer
    x = 19,489.31

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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.