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Finding the Fourth Proportional to 29,325, 43,987.50 and 12,909

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Solution

The fourth proportional to 29,325, 43,987.50 and 12,909 is: 19,363.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,325 : 43,987.50 = 12,909 : x
  2. Step 2: Convert to fraction form
    29,325/43,987.50 = 12,909/x
  3. Step 3: Cross multiply
    29,325x = 43,987.50 × 12,909
  4. Step 4: Simplify right side
    29,325x = 567,834,637.50
  5. Step 5: Solve for x
    x = 567,834,637.50/29,325
  6. Step 6: Final answer
    x = 19,363.50

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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.