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Finding the Fourth Proportional to 43,788, 65,691.84 and 12,620.88

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Solution

The fourth proportional to 43,788, 65,691.84 and 12,620.88 is: 18,934.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,788 : 65,691.84 = 12,620.88 : x
  2. Step 2: Convert to fraction form
    43,788/65,691.84 = 12,620.88/x
  3. Step 3: Cross multiply
    43,788x = 65,691.84 × 12,620.88
  4. Step 4: Simplify right side
    43,788x = 829,088,829.62
  5. Step 5: Solve for x
    x = 829,088,829.62/43,788
  6. Step 6: Final answer
    x = 18,934.16

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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.