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Finding the Fourth Proportional to 20,841.84, 31,251.42 and 7,513.02

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Solution

The fourth proportional to 20,841.84, 31,251.42 and 7,513.02 is: 11,265.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,841.84 : 31,251.42 = 7,513.02 : x
  2. Step 2: Convert to fraction form
    20,841.84/31,251.42 = 7,513.02/x
  3. Step 3: Cross multiply
    20,841.84x = 31,251.42 × 7,513.02
  4. Step 4: Simplify right side
    20,841.84x = 234,792,543.49
  5. Step 5: Solve for x
    x = 234,792,543.49/20,841.84
  6. Step 6: Final answer
    x = 11,265.44

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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.