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Finding the Fourth Proportional to 7,761.14, 11,641.72 and 3,377.58

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Solution

The fourth proportional to 7,761.14, 11,641.72 and 3,377.58 is: 5,066.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.14 : 11,641.72 = 3,377.58 : x
  2. Step 2: Convert to fraction form
    7,761.14/11,641.72 = 3,377.58/x
  3. Step 3: Cross multiply
    7,761.14x = 11,641.72 × 3,377.58
  4. Step 4: Simplify right side
    7,761.14x = 39,320,840.64
  5. Step 5: Solve for x
    x = 39,320,840.64/7,761.14
  6. Step 6: Final answer
    x = 5,066.37

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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.