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Finding the Fourth Proportional to 7,786.80, 11,686.14 and 5,712.30

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Solution

The fourth proportional to 7,786.80, 11,686.14 and 5,712.30 is: 8,572.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786.80 : 11,686.14 = 5,712.30 : x
  2. Step 2: Convert to fraction form
    7,786.80/11,686.14 = 5,712.30/x
  3. Step 3: Cross multiply
    7,786.80x = 11,686.14 × 5,712.30
  4. Step 4: Simplify right side
    7,786.80x = 66,754,737.52
  5. Step 5: Solve for x
    x = 66,754,737.52/7,786.80
  6. Step 6: Final answer
    x = 8,572.81

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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.