Home / 2,152.31-3,228.65-997.43

Finding the Fourth Proportional to 2,152.31, 3,228.65 and 997.43

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Solution

The fourth proportional to 2,152.31, 3,228.65 and 997.43 is: 1,496.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.31 : 3,228.65 = 997.43 : x
  2. Step 2: Convert to fraction form
    2,152.31/3,228.65 = 997.43/x
  3. Step 3: Cross multiply
    2,152.31x = 3,228.65 × 997.43
  4. Step 4: Simplify right side
    2,152.31x = 3,220,347.38
  5. Step 5: Solve for x
    x = 3,220,347.38/2,152.31
  6. Step 6: Final answer
    x = 1,496.23

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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.