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Finding the Fourth Proportional to 2,449.76, 3,676.02 and 989.03

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Solution

The fourth proportional to 2,449.76, 3,676.02 and 989.03 is: 1,484.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.76 : 3,676.02 = 989.03 : x
  2. Step 2: Convert to fraction form
    2,449.76/3,676.02 = 989.03/x
  3. Step 3: Cross multiply
    2,449.76x = 3,676.02 × 989.03
  4. Step 4: Simplify right side
    2,449.76x = 3,635,678.86
  5. Step 5: Solve for x
    x = 3,635,678.86/2,449.76
  6. Step 6: Final answer
    x = 1,484.10

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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.