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Finding the Fourth Proportional to 7,728.60, 10,659.96 and 5,456.28

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Solution

The fourth proportional to 7,728.60, 10,659.96 and 5,456.28 is: 7,525.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.60 : 10,659.96 = 5,456.28 : x
  2. Step 2: Convert to fraction form
    7,728.60/10,659.96 = 5,456.28/x
  3. Step 3: Cross multiply
    7,728.60x = 10,659.96 × 5,456.28
  4. Step 4: Simplify right side
    7,728.60x = 58,163,726.55
  5. Step 5: Solve for x
    x = 58,163,726.55/7,728.60
  6. Step 6: Final answer
    x = 7,525.78

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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.