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Finding the Fourth Proportional to 2,334.90, 3,502.98 and 874.20

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Solution

The fourth proportional to 2,334.90, 3,502.98 and 874.20 is: 1,311.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334.90 : 3,502.98 = 874.20 : x
  2. Step 2: Convert to fraction form
    2,334.90/3,502.98 = 874.20/x
  3. Step 3: Cross multiply
    2,334.90x = 3,502.98 × 874.20
  4. Step 4: Simplify right side
    2,334.90x = 3,062,305.12
  5. Step 5: Solve for x
    x = 3,062,305.12/2,334.90
  6. Step 6: Final answer
    x = 1,311.54

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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.