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Finding the Fourth Proportional to 12,737.64, 17,578.98 and 7,072.95

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Solution

The fourth proportional to 12,737.64, 17,578.98 and 7,072.95 is: 9,761.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,737.64 : 17,578.98 = 7,072.95 : x
  2. Step 2: Convert to fraction form
    12,737.64/17,578.98 = 7,072.95/x
  3. Step 3: Cross multiply
    12,737.64x = 17,578.98 × 7,072.95
  4. Step 4: Simplify right side
    12,737.64x = 124,335,246.59
  5. Step 5: Solve for x
    x = 124,335,246.59/12,737.64
  6. Step 6: Final answer
    x = 9,761.25

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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.