Home / 1,401.05-2,098.85-814.61

Finding the Fourth Proportional to 1,401.05, 2,098.85 and 814.61

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Solution

The fourth proportional to 1,401.05, 2,098.85 and 814.61 is: 1,220.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.05 : 2,098.85 = 814.61 : x
  2. Step 2: Convert to fraction form
    1,401.05/2,098.85 = 814.61/x
  3. Step 3: Cross multiply
    1,401.05x = 2,098.85 × 814.61
  4. Step 4: Simplify right side
    1,401.05x = 1,709,740.13
  5. Step 5: Solve for x
    x = 1,709,740.13/1,401.05
  6. Step 6: Final answer
    x = 1,220.33

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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.