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Finding the Fourth Proportional to 2,749.66, 4,121.90 and 899.48

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Solution

The fourth proportional to 2,749.66, 4,121.90 and 899.48 is: 1,348.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.66 : 4,121.90 = 899.48 : x
  2. Step 2: Convert to fraction form
    2,749.66/4,121.90 = 899.48/x
  3. Step 3: Cross multiply
    2,749.66x = 4,121.90 × 899.48
  4. Step 4: Simplify right side
    2,749.66x = 3,707,572.42
  5. Step 5: Solve for x
    x = 3,707,572.42/2,749.66
  6. Step 6: Final answer
    x = 1,348.38

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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.