Home / 2,449.20-3,675.60-989.40

Finding the Fourth Proportional to 2,449.20, 3,675.60 and 989.40

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Solution

The fourth proportional to 2,449.20, 3,675.60 and 989.40 is: 1,484.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.20 : 3,675.60 = 989.40 : x
  2. Step 2: Convert to fraction form
    2,449.20/3,675.60 = 989.40/x
  3. Step 3: Cross multiply
    2,449.20x = 3,675.60 × 989.40
  4. Step 4: Simplify right side
    2,449.20x = 3,636,638.64
  5. Step 5: Solve for x
    x = 3,636,638.64/2,449.20
  6. Step 6: Final answer
    x = 1,484.83

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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.