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Finding the Fourth Proportional to 20,516.68, 30,775.98 and 9,974.13

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Solution

The fourth proportional to 20,516.68, 30,775.98 and 9,974.13 is: 14,961.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,516.68 : 30,775.98 = 9,974.13 : x
  2. Step 2: Convert to fraction form
    20,516.68/30,775.98 = 9,974.13/x
  3. Step 3: Cross multiply
    20,516.68x = 30,775.98 × 9,974.13
  4. Step 4: Simplify right side
    20,516.68x = 306,963,625.40
  5. Step 5: Solve for x
    x = 306,963,625.40/20,516.68
  6. Step 6: Final answer
    x = 14,961.66

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1.5x scale

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.