Home / 1,401.20-2,103.40-824.40

Finding the Fourth Proportional to 1,401.20, 2,103.40 and 824.40

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Solution

The fourth proportional to 1,401.20, 2,103.40 and 824.40 is: 1,237.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.20 : 2,103.40 = 824.40 : x
  2. Step 2: Convert to fraction form
    1,401.20/2,103.40 = 824.40/x
  3. Step 3: Cross multiply
    1,401.20x = 2,103.40 × 824.40
  4. Step 4: Simplify right side
    1,401.20x = 1,734,042.96
  5. Step 5: Solve for x
    x = 1,734,042.96/1,401.20
  6. Step 6: Final answer
    x = 1,237.54

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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.