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Finding the Fourth Proportional to 2,186.60, 3,275.10 and 1,898.60

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Solution

The fourth proportional to 2,186.60, 3,275.10 and 1,898.60 is: 2,843.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.60 : 3,275.10 = 1,898.60 : x
  2. Step 2: Convert to fraction form
    2,186.60/3,275.10 = 1,898.60/x
  3. Step 3: Cross multiply
    2,186.60x = 3,275.10 × 1,898.60
  4. Step 4: Simplify right side
    2,186.60x = 6,218,104.86
  5. Step 5: Solve for x
    x = 6,218,104.86/2,186.60
  6. Step 6: Final answer
    x = 2,843.73

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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.