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Finding the Fourth Proportional to 2,115.96, 2,920.25 and 1,232.25

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Solution

The fourth proportional to 2,115.96, 2,920.25 and 1,232.25 is: 1,700.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.96 : 2,920.25 = 1,232.25 : x
  2. Step 2: Convert to fraction form
    2,115.96/2,920.25 = 1,232.25/x
  3. Step 3: Cross multiply
    2,115.96x = 2,920.25 × 1,232.25
  4. Step 4: Simplify right side
    2,115.96x = 3,598,471.90
  5. Step 5: Solve for x
    x = 3,598,471.90/2,115.96
  6. Step 6: Final answer
    x = 1,700.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.