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Finding the Fourth Proportional to 9,131.97, 12,602.13 and 4,940.22

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Solution

The fourth proportional to 9,131.97, 12,602.13 and 4,940.22 is: 6,817.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,131.97 : 12,602.13 = 4,940.22 : x
  2. Step 2: Convert to fraction form
    9,131.97/12,602.13 = 4,940.22/x
  3. Step 3: Cross multiply
    9,131.97x = 12,602.13 × 4,940.22
  4. Step 4: Simplify right side
    9,131.97x = 62,257,294.67
  5. Step 5: Solve for x
    x = 62,257,294.67/9,131.97
  6. Step 6: Final answer
    x = 6,817.51

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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.