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Finding the Fourth Proportional to 7,711.20, 10,623.22 and 6,357.99

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Solution

The fourth proportional to 7,711.20, 10,623.22 and 6,357.99 is: 8,758.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.20 : 10,623.22 = 6,357.99 : x
  2. Step 2: Convert to fraction form
    7,711.20/10,623.22 = 6,357.99/x
  3. Step 3: Cross multiply
    7,711.20x = 10,623.22 × 6,357.99
  4. Step 4: Simplify right side
    7,711.20x = 67,542,350.47
  5. Step 5: Solve for x
    x = 67,542,350.47/7,711.20
  6. Step 6: Final answer
    x = 8,758.99

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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.