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Finding the Fourth Proportional to 1,432.68, 1,977.09 and 843.21

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Solution

The fourth proportional to 1,432.68, 1,977.09 and 843.21 is: 1,163.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.68 : 1,977.09 = 843.21 : x
  2. Step 2: Convert to fraction form
    1,432.68/1,977.09 = 843.21/x
  3. Step 3: Cross multiply
    1,432.68x = 1,977.09 × 843.21
  4. Step 4: Simplify right side
    1,432.68x = 1,667,102.06
  5. Step 5: Solve for x
    x = 1,667,102.06/1,432.68
  6. Step 6: Final answer
    x = 1,163.62

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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.