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Finding the Fourth Proportional to 2,749.38, 4,124.72 and 900.49

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Solution

The fourth proportional to 2,749.38, 4,124.72 and 900.49 is: 1,350.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.38 : 4,124.72 = 900.49 : x
  2. Step 2: Convert to fraction form
    2,749.38/4,124.72 = 900.49/x
  3. Step 3: Cross multiply
    2,749.38x = 4,124.72 × 900.49
  4. Step 4: Simplify right side
    2,749.38x = 3,714,269.11
  5. Step 5: Solve for x
    x = 3,714,269.11/2,749.38
  6. Step 6: Final answer
    x = 1,350.95

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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.