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Finding the Fourth Proportional to 2,648.40, 3,972.60 and 918.24

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Solution

The fourth proportional to 2,648.40, 3,972.60 and 918.24 is: 1,377.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.40 : 3,972.60 = 918.24 : x
  2. Step 2: Convert to fraction form
    2,648.40/3,972.60 = 918.24/x
  3. Step 3: Cross multiply
    2,648.40x = 3,972.60 × 918.24
  4. Step 4: Simplify right side
    2,648.40x = 3,647,800.22
  5. Step 5: Solve for x
    x = 3,647,800.22/2,648.40
  6. Step 6: Final answer
    x = 1,377.36

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Similar ratio
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1.5x scale

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.