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Finding the Fourth Proportional to 7,757.91, 11,642.08 and 7,729.37

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Solution

The fourth proportional to 7,757.91, 11,642.08 and 7,729.37 is: 11,599.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.91 : 11,642.08 = 7,729.37 : x
  2. Step 2: Convert to fraction form
    7,757.91/11,642.08 = 7,729.37/x
  3. Step 3: Cross multiply
    7,757.91x = 11,642.08 × 7,729.37
  4. Step 4: Simplify right side
    7,757.91x = 89,985,943.89
  5. Step 5: Solve for x
    x = 89,985,943.89/7,757.91
  6. Step 6: Final answer
    x = 11,599.25

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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.