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Finding the Fourth Proportional to 7,660.80, 11,414.14 and 7,157.84

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Solution

The fourth proportional to 7,660.80, 11,414.14 and 7,157.84 is: 10,664.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,660.80 : 11,414.14 = 7,157.84 : x
  2. Step 2: Convert to fraction form
    7,660.80/11,414.14 = 7,157.84/x
  3. Step 3: Cross multiply
    7,660.80x = 11,414.14 × 7,157.84
  4. Step 4: Simplify right side
    7,660.80x = 81,700,587.86
  5. Step 5: Solve for x
    x = 81,700,587.86/7,660.80
  6. Step 6: Final answer
    x = 10,664.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.