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Finding the Fourth Proportional to 2,145.34, 3,218.01 and 991.90

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Solution

The fourth proportional to 2,145.34, 3,218.01 and 991.90 is: 1,487.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.34 : 3,218.01 = 991.90 : x
  2. Step 2: Convert to fraction form
    2,145.34/3,218.01 = 991.90/x
  3. Step 3: Cross multiply
    2,145.34x = 3,218.01 × 991.90
  4. Step 4: Simplify right side
    2,145.34x = 3,191,944.12
  5. Step 5: Solve for x
    x = 3,191,944.12/2,145.34
  6. Step 6: Final answer
    x = 1,487.85

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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.