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Finding the Fourth Proportional to 7,112.48, 10,642.92 and 6,191.48

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Solution

The fourth proportional to 7,112.48, 10,642.92 and 6,191.48 is: 9,264.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,112.48 : 10,642.92 = 6,191.48 : x
  2. Step 2: Convert to fraction form
    7,112.48/10,642.92 = 6,191.48/x
  3. Step 3: Cross multiply
    7,112.48x = 10,642.92 × 6,191.48
  4. Step 4: Simplify right side
    7,112.48x = 65,895,426.32
  5. Step 5: Solve for x
    x = 65,895,426.32/7,112.48
  6. Step 6: Final answer
    x = 9,264.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.