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Finding the Fourth Proportional to 2,151.95, 3,228.19 and 690.71

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Solution

The fourth proportional to 2,151.95, 3,228.19 and 690.71 is: 1,036.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.95 : 3,228.19 = 690.71 : x
  2. Step 2: Convert to fraction form
    2,151.95/3,228.19 = 690.71/x
  3. Step 3: Cross multiply
    2,151.95x = 3,228.19 × 690.71
  4. Step 4: Simplify right side
    2,151.95x = 2,229,725.25
  5. Step 5: Solve for x
    x = 2,229,725.25/2,151.95
  6. Step 6: Final answer
    x = 1,036.14

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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.