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Finding the Fourth Proportional to 2,109.95, 3,164.96 and 724.88

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Solution

The fourth proportional to 2,109.95, 3,164.96 and 724.88 is: 1,087.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.95 : 3,164.96 = 724.88 : x
  2. Step 2: Convert to fraction form
    2,109.95/3,164.96 = 724.88/x
  3. Step 3: Cross multiply
    2,109.95x = 3,164.96 × 724.88
  4. Step 4: Simplify right side
    2,109.95x = 2,294,216.20
  5. Step 5: Solve for x
    x = 2,294,216.20/2,109.95
  6. Step 6: Final answer
    x = 1,087.33

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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.