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Finding the Fourth Proportional to 7,761.16, 11,641.44 and 1,917.62

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Solution

The fourth proportional to 7,761.16, 11,641.44 and 1,917.62 is: 2,876.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.16 : 11,641.44 = 1,917.62 : x
  2. Step 2: Convert to fraction form
    7,761.16/11,641.44 = 1,917.62/x
  3. Step 3: Cross multiply
    7,761.16x = 11,641.44 × 1,917.62
  4. Step 4: Simplify right side
    7,761.16x = 22,323,858.17
  5. Step 5: Solve for x
    x = 22,323,858.17/7,761.16
  6. Step 6: Final answer
    x = 2,876.36

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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.