Home / 1,954.28-2,931.42-1,520.20

Finding the Fourth Proportional to 1,954.28, 2,931.42 and 1,520.20

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Solution

The fourth proportional to 1,954.28, 2,931.42 and 1,520.20 is: 2,280.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.28 : 2,931.42 = 1,520.20 : x
  2. Step 2: Convert to fraction form
    1,954.28/2,931.42 = 1,520.20/x
  3. Step 3: Cross multiply
    1,954.28x = 2,931.42 × 1,520.20
  4. Step 4: Simplify right side
    1,954.28x = 4,456,344.68
  5. Step 5: Solve for x
    x = 4,456,344.68/1,954.28
  6. Step 6: Final answer
    x = 2,280.30

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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.