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Finding the Fourth Proportional to 7,839.52, 10,805.07 and 7,470.43

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Solution

The fourth proportional to 7,839.52, 10,805.07 and 7,470.43 is: 10,296.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,839.52 : 10,805.07 = 7,470.43 : x
  2. Step 2: Convert to fraction form
    7,839.52/10,805.07 = 7,470.43/x
  3. Step 3: Cross multiply
    7,839.52x = 10,805.07 × 7,470.43
  4. Step 4: Simplify right side
    7,839.52x = 80,718,519.08
  5. Step 5: Solve for x
    x = 80,718,519.08/7,839.52
  6. Step 6: Final answer
    x = 10,296.36

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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.