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Finding the Fourth Proportional to 2,160.86, 2,980.95 and 1,414.49

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Solution

The fourth proportional to 2,160.86, 2,980.95 and 1,414.49 is: 1,951.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.86 : 2,980.95 = 1,414.49 : x
  2. Step 2: Convert to fraction form
    2,160.86/2,980.95 = 1,414.49/x
  3. Step 3: Cross multiply
    2,160.86x = 2,980.95 × 1,414.49
  4. Step 4: Simplify right side
    2,160.86x = 4,216,523.97
  5. Step 5: Solve for x
    x = 4,216,523.97/2,160.86
  6. Step 6: Final answer
    x = 1,951.32

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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.