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Finding the Fourth Proportional to 2,725.52, 4,086.12 and 993.20

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Solution

The fourth proportional to 2,725.52, 4,086.12 and 993.20 is: 1,489.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.52 : 4,086.12 = 993.20 : x
  2. Step 2: Convert to fraction form
    2,725.52/4,086.12 = 993.20/x
  3. Step 3: Cross multiply
    2,725.52x = 4,086.12 × 993.20
  4. Step 4: Simplify right side
    2,725.52x = 4,058,334.38
  5. Step 5: Solve for x
    x = 4,058,334.38/2,725.52
  6. Step 6: Final answer
    x = 1,489.01

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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.