Home / 2,122.95-2,927.80-1,414.78

Finding the Fourth Proportional to 2,122.95, 2,927.80 and 1,414.78

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Solution

The fourth proportional to 2,122.95, 2,927.80 and 1,414.78 is: 1,951.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.95 : 2,927.80 = 1,414.78 : x
  2. Step 2: Convert to fraction form
    2,122.95/2,927.80 = 1,414.78/x
  3. Step 3: Cross multiply
    2,122.95x = 2,927.80 × 1,414.78
  4. Step 4: Simplify right side
    2,122.95x = 4,142,182.03
  5. Step 5: Solve for x
    x = 4,142,182.03/2,122.95
  6. Step 6: Final answer
    x = 1,951.14

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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.