Home / 1,421.14-1,961.19-800.14

Finding the Fourth Proportional to 1,421.14, 1,961.19 and 800.14

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Solution

The fourth proportional to 1,421.14, 1,961.19 and 800.14 is: 1,104.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.14 : 1,961.19 = 800.14 : x
  2. Step 2: Convert to fraction form
    1,421.14/1,961.19 = 800.14/x
  3. Step 3: Cross multiply
    1,421.14x = 1,961.19 × 800.14
  4. Step 4: Simplify right side
    1,421.14x = 1,569,226.57
  5. Step 5: Solve for x
    x = 1,569,226.57/1,421.14
  6. Step 6: Final answer
    x = 1,104.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.