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Finding the Fourth Proportional to 7,766.91, 11,575.42 and 7,754.56

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Solution

The fourth proportional to 7,766.91, 11,575.42 and 7,754.56 is: 11,557.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.91 : 11,575.42 = 7,754.56 : x
  2. Step 2: Convert to fraction form
    7,766.91/11,575.42 = 7,754.56/x
  3. Step 3: Cross multiply
    7,766.91x = 11,575.42 × 7,754.56
  4. Step 4: Simplify right side
    7,766.91x = 89,762,288.92
  5. Step 5: Solve for x
    x = 89,762,288.92/7,766.91
  6. Step 6: Final answer
    x = 11,557.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.