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Finding the Fourth Proportional to 7,757.93, 10,711.31 and 7,262.21

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Solution

The fourth proportional to 7,757.93, 10,711.31 and 7,262.21 is: 10,026.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.93 : 10,711.31 = 7,262.21 : x
  2. Step 2: Convert to fraction form
    7,757.93/10,711.31 = 7,262.21/x
  3. Step 3: Cross multiply
    7,757.93x = 10,711.31 × 7,262.21
  4. Step 4: Simplify right side
    7,757.93x = 77,787,773.06
  5. Step 5: Solve for x
    x = 77,787,773.06/7,757.93
  6. Step 6: Final answer
    x = 10,026.87

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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.