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Finding the Fourth Proportional to 2,155.88, 3,232.17 and 985.07

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Solution

The fourth proportional to 2,155.88, 3,232.17 and 985.07 is: 1,476.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.88 : 3,232.17 = 985.07 : x
  2. Step 2: Convert to fraction form
    2,155.88/3,232.17 = 985.07/x
  3. Step 3: Cross multiply
    2,155.88x = 3,232.17 × 985.07
  4. Step 4: Simplify right side
    2,155.88x = 3,183,921.78
  5. Step 5: Solve for x
    x = 3,183,921.78/2,155.88
  6. Step 6: Final answer
    x = 1,476.85

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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.