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Finding the Fourth Proportional to 7,764.59, 10,715.32 and 4,227.99

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Solution

The fourth proportional to 7,764.59, 10,715.32 and 4,227.99 is: 5,834.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.59 : 10,715.32 = 4,227.99 : x
  2. Step 2: Convert to fraction form
    7,764.59/10,715.32 = 4,227.99/x
  3. Step 3: Cross multiply
    7,764.59x = 10,715.32 × 4,227.99
  4. Step 4: Simplify right side
    7,764.59x = 45,304,265.81
  5. Step 5: Solve for x
    x = 45,304,265.81/7,764.59
  6. Step 6: Final answer
    x = 5,834.73

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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.