Home / 2,098.19-3,148.50-1,002.80

Finding the Fourth Proportional to 2,098.19, 3,148.50 and 1,002.80

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Solution

The fourth proportional to 2,098.19, 3,148.50 and 1,002.80 is: 1,504.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.19 : 3,148.50 = 1,002.80 : x
  2. Step 2: Convert to fraction form
    2,098.19/3,148.50 = 1,002.80/x
  3. Step 3: Cross multiply
    2,098.19x = 3,148.50 × 1,002.80
  4. Step 4: Simplify right side
    2,098.19x = 3,157,315.80
  5. Step 5: Solve for x
    x = 3,157,315.80/2,098.19
  6. Step 6: Final answer
    x = 1,504.78

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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.