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Finding the Fourth Proportional to 36,474, 54,718.68 and 11,851.92

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Solution

The fourth proportional to 36,474, 54,718.68 and 11,851.92 is: 17,780.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,474 : 54,718.68 = 11,851.92 : x
  2. Step 2: Convert to fraction form
    36,474/54,718.68 = 11,851.92/x
  3. Step 3: Cross multiply
    36,474x = 54,718.68 × 11,851.92
  4. Step 4: Simplify right side
    36,474x = 648,521,417.87
  5. Step 5: Solve for x
    x = 648,521,417.87/36,474
  6. Step 6: Final answer
    x = 17,780.38

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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.