Home / 1,420.13-2,132.22-902.34

Finding the Fourth Proportional to 1,420.13, 2,132.22 and 902.34

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Solution

The fourth proportional to 1,420.13, 2,132.22 and 902.34 is: 1,354.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.13 : 2,132.22 = 902.34 : x
  2. Step 2: Convert to fraction form
    1,420.13/2,132.22 = 902.34/x
  3. Step 3: Cross multiply
    1,420.13x = 2,132.22 × 902.34
  4. Step 4: Simplify right side
    1,420.13x = 1,923,990.78
  5. Step 5: Solve for x
    x = 1,923,990.78/1,420.13
  6. Step 6: Final answer
    x = 1,354.80

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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.