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Finding the Fourth Proportional to 43,691.54, 65,530.02 and 12,519.50

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Solution

The fourth proportional to 43,691.54, 65,530.02 and 12,519.50 is: 18,777.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,691.54 : 65,530.02 = 12,519.50 : x
  2. Step 2: Convert to fraction form
    43,691.54/65,530.02 = 12,519.50/x
  3. Step 3: Cross multiply
    43,691.54x = 65,530.02 × 12,519.50
  4. Step 4: Simplify right side
    43,691.54x = 820,403,085.39
  5. Step 5: Solve for x
    x = 820,403,085.39/43,691.54
  6. Step 6: Final answer
    x = 18,777.16

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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.