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Finding the Fourth Proportional to 7,882.56, 10,879.92 and 4,740.60

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Solution

The fourth proportional to 7,882.56, 10,879.92 and 4,740.60 is: 6,543.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.56 : 10,879.92 = 4,740.60 : x
  2. Step 2: Convert to fraction form
    7,882.56/10,879.92 = 4,740.60/x
  3. Step 3: Cross multiply
    7,882.56x = 10,879.92 × 4,740.60
  4. Step 4: Simplify right side
    7,882.56x = 51,577,348.75
  5. Step 5: Solve for x
    x = 51,577,348.75/7,882.56
  6. Step 6: Final answer
    x = 6,543.22

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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.