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Finding the Fourth Proportional to 27,122.40, 40,687.98 and 8,398.04

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Solution

The fourth proportional to 27,122.40, 40,687.98 and 8,398.04 is: 12,598.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,122.40 : 40,687.98 = 8,398.04 : x
  2. Step 2: Convert to fraction form
    27,122.40/40,687.98 = 8,398.04/x
  3. Step 3: Cross multiply
    27,122.40x = 40,687.98 × 8,398.04
  4. Step 4: Simplify right side
    27,122.40x = 341,699,080.12
  5. Step 5: Solve for x
    x = 341,699,080.12/27,122.40
  6. Step 6: Final answer
    x = 12,598.41

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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.