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Finding the Fourth Proportional to 2,898.73, 4,350.54 and 1,256.53

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Solution

The fourth proportional to 2,898.73, 4,350.54 and 1,256.53 is: 1,885.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.73 : 4,350.54 = 1,256.53 : x
  2. Step 2: Convert to fraction form
    2,898.73/4,350.54 = 1,256.53/x
  3. Step 3: Cross multiply
    2,898.73x = 4,350.54 × 1,256.53
  4. Step 4: Simplify right side
    2,898.73x = 5,466,584.03
  5. Step 5: Solve for x
    x = 5,466,584.03/2,898.73
  6. Step 6: Final answer
    x = 1,885.85

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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.