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Finding the Fourth Proportional to 1,797.14, 2,695.68 and 980.61

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Solution

The fourth proportional to 1,797.14, 2,695.68 and 980.61 is: 1,470.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797.14 : 2,695.68 = 980.61 : x
  2. Step 2: Convert to fraction form
    1,797.14/2,695.68 = 980.61/x
  3. Step 3: Cross multiply
    1,797.14x = 2,695.68 × 980.61
  4. Step 4: Simplify right side
    1,797.14x = 2,643,405.86
  5. Step 5: Solve for x
    x = 2,643,405.86/1,797.14
  6. Step 6: Final answer
    x = 1,470.90

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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.