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Finding the Fourth Proportional to 2,407, 3,591.87 and 2,147.80

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Solution

The fourth proportional to 2,407, 3,591.87 and 2,147.80 is: 3,205.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407 : 3,591.87 = 2,147.80 : x
  2. Step 2: Convert to fraction form
    2,407/3,591.87 = 2,147.80/x
  3. Step 3: Cross multiply
    2,407x = 3,591.87 × 2,147.80
  4. Step 4: Simplify right side
    2,407x = 7,714,618.39
  5. Step 5: Solve for x
    x = 7,714,618.39/2,407
  6. Step 6: Final answer
    x = 3,205.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.