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Finding the Fourth Proportional to 2,151.79, 3,228.02 and 919.21

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Solution

The fourth proportional to 2,151.79, 3,228.02 and 919.21 is: 1,378.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.79 : 3,228.02 = 919.21 : x
  2. Step 2: Convert to fraction form
    2,151.79/3,228.02 = 919.21/x
  3. Step 3: Cross multiply
    2,151.79x = 3,228.02 × 919.21
  4. Step 4: Simplify right side
    2,151.79x = 2,967,212.12
  5. Step 5: Solve for x
    x = 2,967,212.12/2,151.79
  6. Step 6: Final answer
    x = 1,378.95

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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.