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Finding the Fourth Proportional to 2,768.42, 4,154.16 and 1,124.53

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Solution

The fourth proportional to 2,768.42, 4,154.16 and 1,124.53 is: 1,687.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.42 : 4,154.16 = 1,124.53 : x
  2. Step 2: Convert to fraction form
    2,768.42/4,154.16 = 1,124.53/x
  3. Step 3: Cross multiply
    2,768.42x = 4,154.16 × 1,124.53
  4. Step 4: Simplify right side
    2,768.42x = 4,671,469.68
  5. Step 5: Solve for x
    x = 4,671,469.68/2,768.42
  6. Step 6: Final answer
    x = 1,687.41

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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.