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Finding the Fourth Proportional to 3,154.64, 4,726.73 and 1,918.31

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Solution

The fourth proportional to 3,154.64, 4,726.73 and 1,918.31 is: 2,874.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.64 : 4,726.73 = 1,918.31 : x
  2. Step 2: Convert to fraction form
    3,154.64/4,726.73 = 1,918.31/x
  3. Step 3: Cross multiply
    3,154.64x = 4,726.73 × 1,918.31
  4. Step 4: Simplify right side
    3,154.64x = 9,067,321.52
  5. Step 5: Solve for x
    x = 9,067,321.52/3,154.64
  6. Step 6: Final answer
    x = 2,874.28

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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.