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Finding the Fourth Proportional to 2,151.55, 3,227.33 and 690.72

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Solution

The fourth proportional to 2,151.55, 3,227.33 and 690.72 is: 1,036.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.55 : 3,227.33 = 690.72 : x
  2. Step 2: Convert to fraction form
    2,151.55/3,227.33 = 690.72/x
  3. Step 3: Cross multiply
    2,151.55x = 3,227.33 × 690.72
  4. Step 4: Simplify right side
    2,151.55x = 2,229,181.38
  5. Step 5: Solve for x
    x = 2,229,181.38/2,151.55
  6. Step 6: Final answer
    x = 1,036.08

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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.