Home / 2,099.90-3,143.64-1,275.68

Finding the Fourth Proportional to 2,099.90, 3,143.64 and 1,275.68

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Solution

The fourth proportional to 2,099.90, 3,143.64 and 1,275.68 is: 1,909.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.90 : 3,143.64 = 1,275.68 : x
  2. Step 2: Convert to fraction form
    2,099.90/3,143.64 = 1,275.68/x
  3. Step 3: Cross multiply
    2,099.90x = 3,143.64 × 1,275.68
  4. Step 4: Simplify right side
    2,099.90x = 4,010,278.68
  5. Step 5: Solve for x
    x = 4,010,278.68/2,099.90
  6. Step 6: Final answer
    x = 1,909.75

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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.