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Finding the Fourth Proportional to 29,419.50, 44,129.25 and 8,643

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Solution

The fourth proportional to 29,419.50, 44,129.25 and 8,643 is: 12,964.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,419.50 : 44,129.25 = 8,643 : x
  2. Step 2: Convert to fraction form
    29,419.50/44,129.25 = 8,643/x
  3. Step 3: Cross multiply
    29,419.50x = 44,129.25 × 8,643
  4. Step 4: Simplify right side
    29,419.50x = 381,409,107.75
  5. Step 5: Solve for x
    x = 381,409,107.75/29,419.50
  6. Step 6: Final answer
    x = 12,964.50

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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.