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Finding the Fourth Proportional to 7,841.28, 11,761.93 and 1,918.16

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Solution

The fourth proportional to 7,841.28, 11,761.93 and 1,918.16 is: 2,877.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.28 : 11,761.93 = 1,918.16 : x
  2. Step 2: Convert to fraction form
    7,841.28/11,761.93 = 1,918.16/x
  3. Step 3: Cross multiply
    7,841.28x = 11,761.93 × 1,918.16
  4. Step 4: Simplify right side
    7,841.28x = 22,561,223.66
  5. Step 5: Solve for x
    x = 22,561,223.66/7,841.28
  6. Step 6: Final answer
    x = 2,877.24

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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.