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Finding the Fourth Proportional to 2,480.95, 3,423.71 and 1,418.74

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Solution

The fourth proportional to 2,480.95, 3,423.71 and 1,418.74 is: 1,957.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.95 : 3,423.71 = 1,418.74 : x
  2. Step 2: Convert to fraction form
    2,480.95/3,423.71 = 1,418.74/x
  3. Step 3: Cross multiply
    2,480.95x = 3,423.71 × 1,418.74
  4. Step 4: Simplify right side
    2,480.95x = 4,857,354.33
  5. Step 5: Solve for x
    x = 4,857,354.33/2,480.95
  6. Step 6: Final answer
    x = 1,957.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.