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Finding the Fourth Proportional to 26,264, 39,387.48 and 8,729.12

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Solution

The fourth proportional to 26,264, 39,387.48 and 8,729.12 is: 13,090.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,264 : 39,387.48 = 8,729.12 : x
  2. Step 2: Convert to fraction form
    26,264/39,387.48 = 8,729.12/x
  3. Step 3: Cross multiply
    26,264x = 39,387.48 × 8,729.12
  4. Step 4: Simplify right side
    26,264x = 343,818,039.42
  5. Step 5: Solve for x
    x = 343,818,039.42/26,264
  6. Step 6: Final answer
    x = 13,090.85

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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.