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Finding the Fourth Proportional to 2,159.54, 2,980.45 and 1,227.86

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Solution

The fourth proportional to 2,159.54, 2,980.45 and 1,227.86 is: 1,694.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.54 : 2,980.45 = 1,227.86 : x
  2. Step 2: Convert to fraction form
    2,159.54/2,980.45 = 1,227.86/x
  3. Step 3: Cross multiply
    2,159.54x = 2,980.45 × 1,227.86
  4. Step 4: Simplify right side
    2,159.54x = 3,659,575.34
  5. Step 5: Solve for x
    x = 3,659,575.34/2,159.54
  6. Step 6: Final answer
    x = 1,694.61

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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.