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Finding the Fourth Proportional to 28,179, 42,274.98 and 9,711

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Solution

The fourth proportional to 28,179, 42,274.98 and 9,711 is: 14,568.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,179 : 42,274.98 = 9,711 : x
  2. Step 2: Convert to fraction form
    28,179/42,274.98 = 9,711/x
  3. Step 3: Cross multiply
    28,179x = 42,274.98 × 9,711
  4. Step 4: Simplify right side
    28,179x = 410,532,330.78
  5. Step 5: Solve for x
    x = 410,532,330.78/28,179
  6. Step 6: Final answer
    x = 14,568.73

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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.