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Finding the Fourth Proportional to 7,761.60, 11,642.42 and 4,064.92

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Solution

The fourth proportional to 7,761.60, 11,642.42 and 4,064.92 is: 6,097.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.60 : 11,642.42 = 4,064.92 : x
  2. Step 2: Convert to fraction form
    7,761.60/11,642.42 = 4,064.92/x
  3. Step 3: Cross multiply
    7,761.60x = 11,642.42 × 4,064.92
  4. Step 4: Simplify right side
    7,761.60x = 47,325,486.96
  5. Step 5: Solve for x
    x = 47,325,486.96/7,761.60
  6. Step 6: Final answer
    x = 6,097.39

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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.