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Finding the Fourth Proportional to 9,387.82, 12,940.28 and 7,395.22

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Solution

The fourth proportional to 9,387.82, 12,940.28 and 7,395.22 is: 10,193.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,387.82 : 12,940.28 = 7,395.22 : x
  2. Step 2: Convert to fraction form
    9,387.82/12,940.28 = 7,395.22/x
  3. Step 3: Cross multiply
    9,387.82x = 12,940.28 × 7,395.22
  4. Step 4: Simplify right side
    9,387.82x = 95,696,217.46
  5. Step 5: Solve for x
    x = 95,696,217.46/9,387.82
  6. Step 6: Final answer
    x = 10,193.66

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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.