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Finding the Fourth Proportional to 1,691.90, 2,334.14 and 1,102.22

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Solution

The fourth proportional to 1,691.90, 2,334.14 and 1,102.22 is: 1,520.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.90 : 2,334.14 = 1,102.22 : x
  2. Step 2: Convert to fraction form
    1,691.90/2,334.14 = 1,102.22/x
  3. Step 3: Cross multiply
    1,691.90x = 2,334.14 × 1,102.22
  4. Step 4: Simplify right side
    1,691.90x = 2,572,735.79
  5. Step 5: Solve for x
    x = 2,572,735.79/1,691.90
  6. Step 6: Final answer
    x = 1,520.62

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1.5x scale

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.