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Finding the Fourth Proportional to 7,781.32, 10,652.29 and 7,725.73

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Solution

The fourth proportional to 7,781.32, 10,652.29 and 7,725.73 is: 10,576.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.32 : 10,652.29 = 7,725.73 : x
  2. Step 2: Convert to fraction form
    7,781.32/10,652.29 = 7,725.73/x
  3. Step 3: Cross multiply
    7,781.32x = 10,652.29 × 7,725.73
  4. Step 4: Simplify right side
    7,781.32x = 82,296,716.42
  5. Step 5: Solve for x
    x = 82,296,716.42/7,781.32
  6. Step 6: Final answer
    x = 10,576.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.