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Finding the Fourth Proportional to 2,407.86, 3,321.60 and 1,412.47

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Solution

The fourth proportional to 2,407.86, 3,321.60 and 1,412.47 is: 1,948.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.86 : 3,321.60 = 1,412.47 : x
  2. Step 2: Convert to fraction form
    2,407.86/3,321.60 = 1,412.47/x
  3. Step 3: Cross multiply
    2,407.86x = 3,321.60 × 1,412.47
  4. Step 4: Simplify right side
    2,407.86x = 4,691,660.35
  5. Step 5: Solve for x
    x = 4,691,660.35/2,407.86
  6. Step 6: Final answer
    x = 1,948.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.