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Finding the Fourth Proportional to 28,352.43, 42,529.05 and 9,884.43

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Solution

The fourth proportional to 28,352.43, 42,529.05 and 9,884.43 is: 14,826.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,352.43 : 42,529.05 = 9,884.43 : x
  2. Step 2: Convert to fraction form
    28,352.43/42,529.05 = 9,884.43/x
  3. Step 3: Cross multiply
    28,352.43x = 42,529.05 × 9,884.43
  4. Step 4: Simplify right side
    28,352.43x = 420,375,417.69
  5. Step 5: Solve for x
    x = 420,375,417.69/28,352.43
  6. Step 6: Final answer
    x = 14,826.79

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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.