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Finding the Fourth Proportional to 2,129.67, 3,193.02 and 896.07

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Solution

The fourth proportional to 2,129.67, 3,193.02 and 896.07 is: 1,343.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.67 : 3,193.02 = 896.07 : x
  2. Step 2: Convert to fraction form
    2,129.67/3,193.02 = 896.07/x
  3. Step 3: Cross multiply
    2,129.67x = 3,193.02 × 896.07
  4. Step 4: Simplify right side
    2,129.67x = 2,861,169.43
  5. Step 5: Solve for x
    x = 2,861,169.43/2,129.67
  6. Step 6: Final answer
    x = 1,343.48

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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.