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Finding the Fourth Proportional to 43,387, 65,080.50 and 10,555

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Solution

The fourth proportional to 43,387, 65,080.50 and 10,555 is: 15,832.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,387 : 65,080.50 = 10,555 : x
  2. Step 2: Convert to fraction form
    43,387/65,080.50 = 10,555/x
  3. Step 3: Cross multiply
    43,387x = 65,080.50 × 10,555
  4. Step 4: Simplify right side
    43,387x = 686,924,677.50
  5. Step 5: Solve for x
    x = 686,924,677.50/43,387
  6. Step 6: Final answer
    x = 15,832.50

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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.