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Finding the Fourth Proportional to 2,279.70, 3,418.55 and 1,046.70

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Solution

The fourth proportional to 2,279.70, 3,418.55 and 1,046.70 is: 1,569.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.70 : 3,418.55 = 1,046.70 : x
  2. Step 2: Convert to fraction form
    2,279.70/3,418.55 = 1,046.70/x
  3. Step 3: Cross multiply
    2,279.70x = 3,418.55 × 1,046.70
  4. Step 4: Simplify right side
    2,279.70x = 3,578,196.29
  5. Step 5: Solve for x
    x = 3,578,196.29/2,279.70
  6. Step 6: Final answer
    x = 1,569.59

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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.