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Finding the Fourth Proportional to 2,334.02, 3,502.39 and 874.20

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Solution

The fourth proportional to 2,334.02, 3,502.39 and 874.20 is: 1,311.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334.02 : 3,502.39 = 874.20 : x
  2. Step 2: Convert to fraction form
    2,334.02/3,502.39 = 874.20/x
  3. Step 3: Cross multiply
    2,334.02x = 3,502.39 × 874.20
  4. Step 4: Simplify right side
    2,334.02x = 3,061,769.64
  5. Step 5: Solve for x
    x = 3,061,769.64/2,334.02
  6. Step 6: Final answer
    x = 1,311.80

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1.5x scale

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.