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Finding the Fourth Proportional to 2,998.53, 4,489.72 and 1,955.95

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Solution

The fourth proportional to 2,998.53, 4,489.72 and 1,955.95 is: 2,928.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.53 : 4,489.72 = 1,955.95 : x
  2. Step 2: Convert to fraction form
    2,998.53/4,489.72 = 1,955.95/x
  3. Step 3: Cross multiply
    2,998.53x = 4,489.72 × 1,955.95
  4. Step 4: Simplify right side
    2,998.53x = 8,781,635.61
  5. Step 5: Solve for x
    x = 8,781,635.61/2,998.53
  6. Step 6: Final answer
    x = 2,928.65

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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.