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Finding the Fourth Proportional to 2,488, 3,732.48 and 1,120

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Solution

The fourth proportional to 2,488, 3,732.48 and 1,120 is: 1,680.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488 : 3,732.48 = 1,120 : x
  2. Step 2: Convert to fraction form
    2,488/3,732.48 = 1,120/x
  3. Step 3: Cross multiply
    2,488x = 3,732.48 × 1,120
  4. Step 4: Simplify right side
    2,488x = 4,180,377.60
  5. Step 5: Solve for x
    x = 4,180,377.60/2,488
  6. Step 6: Final answer
    x = 1,680.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.