Home / 2,102.28-3,151.80-1,407.84

Finding the Fourth Proportional to 2,102.28, 3,151.80 and 1,407.84

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Solution

The fourth proportional to 2,102.28, 3,151.80 and 1,407.84 is: 2,110.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.28 : 3,151.80 = 1,407.84 : x
  2. Step 2: Convert to fraction form
    2,102.28/3,151.80 = 1,407.84/x
  3. Step 3: Cross multiply
    2,102.28x = 3,151.80 × 1,407.84
  4. Step 4: Simplify right side
    2,102.28x = 4,437,230.11
  5. Step 5: Solve for x
    x = 4,437,230.11/2,102.28
  6. Step 6: Final answer
    x = 2,110.68

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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.