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Finding the Fourth Proportional to 7,729.40, 11,593.98 and 5,355.29

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Solution

The fourth proportional to 7,729.40, 11,593.98 and 5,355.29 is: 8,032.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.40 : 11,593.98 = 5,355.29 : x
  2. Step 2: Convert to fraction form
    7,729.40/11,593.98 = 5,355.29/x
  3. Step 3: Cross multiply
    7,729.40x = 11,593.98 × 5,355.29
  4. Step 4: Simplify right side
    7,729.40x = 62,089,067.18
  5. Step 5: Solve for x
    x = 62,089,067.18/7,729.40
  6. Step 6: Final answer
    x = 8,032.85

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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.