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Finding the Fourth Proportional to 12,737.97, 17,578.17 and 7,072.74

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Solution

The fourth proportional to 12,737.97, 17,578.17 and 7,072.74 is: 9,760.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,737.97 : 17,578.17 = 7,072.74 : x
  2. Step 2: Convert to fraction form
    12,737.97/17,578.17 = 7,072.74/x
  3. Step 3: Cross multiply
    12,737.97x = 17,578.17 × 7,072.74
  4. Step 4: Simplify right side
    12,737.97x = 124,325,826.09
  5. Step 5: Solve for x
    x = 124,325,826.09/12,737.97
  6. Step 6: Final answer
    x = 9,760.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.