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Finding the Fourth Proportional to 7,757.41, 11,641.33 and 7,728.87

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Solution

The fourth proportional to 7,757.41, 11,641.33 and 7,728.87 is: 11,598.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.41 : 11,641.33 = 7,728.87 : x
  2. Step 2: Convert to fraction form
    7,757.41/11,641.33 = 7,728.87/x
  3. Step 3: Cross multiply
    7,757.41x = 11,641.33 × 7,728.87
  4. Step 4: Simplify right side
    7,757.41x = 89,974,326.20
  5. Step 5: Solve for x
    x = 89,974,326.20/7,757.41
  6. Step 6: Final answer
    x = 11,598.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.