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Finding the Fourth Proportional to 7,855.29, 11,760.66 and 7,116.24

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Solution

The fourth proportional to 7,855.29, 11,760.66 and 7,116.24 is: 10,654.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.29 : 11,760.66 = 7,116.24 : x
  2. Step 2: Convert to fraction form
    7,855.29/11,760.66 = 7,116.24/x
  3. Step 3: Cross multiply
    7,855.29x = 11,760.66 × 7,116.24
  4. Step 4: Simplify right side
    7,855.29x = 83,691,679.12
  5. Step 5: Solve for x
    x = 83,691,679.12/7,855.29
  6. Step 6: Final answer
    x = 10,654.18

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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.