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Finding the Fourth Proportional to 2,874.47, 4,305.62 and 1,641.24

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Solution

The fourth proportional to 2,874.47, 4,305.62 and 1,641.24 is: 2,458.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.47 : 4,305.62 = 1,641.24 : x
  2. Step 2: Convert to fraction form
    2,874.47/4,305.62 = 1,641.24/x
  3. Step 3: Cross multiply
    2,874.47x = 4,305.62 × 1,641.24
  4. Step 4: Simplify right side
    2,874.47x = 7,066,559.87
  5. Step 5: Solve for x
    x = 7,066,559.87/2,874.47
  6. Step 6: Final answer
    x = 2,458.39

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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.