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Finding the Fourth Proportional to 2,277.88, 3,418.36 and 979.68

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Solution

The fourth proportional to 2,277.88, 3,418.36 and 979.68 is: 1,470.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.88 : 3,418.36 = 979.68 : x
  2. Step 2: Convert to fraction form
    2,277.88/3,418.36 = 979.68/x
  3. Step 3: Cross multiply
    2,277.88x = 3,418.36 × 979.68
  4. Step 4: Simplify right side
    2,277.88x = 3,348,898.92
  5. Step 5: Solve for x
    x = 3,348,898.92/2,277.88
  6. Step 6: Final answer
    x = 1,470.18

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1.5x scale

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.