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Finding the Fourth Proportional to 2,449.48, 3,672 and 889.12

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Solution

The fourth proportional to 2,449.48, 3,672 and 889.12 is: 1,332.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.48 : 3,672 = 889.12 : x
  2. Step 2: Convert to fraction form
    2,449.48/3,672 = 889.12/x
  3. Step 3: Cross multiply
    2,449.48x = 3,672 × 889.12
  4. Step 4: Simplify right side
    2,449.48x = 3,264,848.64
  5. Step 5: Solve for x
    x = 3,264,848.64/2,449.48
  6. Step 6: Final answer
    x = 1,332.87

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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.