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Finding the Fourth Proportional to 28,981.76, 43,472.62 and 8,205.26

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Solution

The fourth proportional to 28,981.76, 43,472.62 and 8,205.26 is: 12,307.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,981.76 : 43,472.62 = 8,205.26 : x
  2. Step 2: Convert to fraction form
    28,981.76/43,472.62 = 8,205.26/x
  3. Step 3: Cross multiply
    28,981.76x = 43,472.62 × 8,205.26
  4. Step 4: Simplify right side
    28,981.76x = 356,704,149.98
  5. Step 5: Solve for x
    x = 356,704,149.98/28,981.76
  6. Step 6: Final answer
    x = 12,307.88

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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.