Home / 2,742.28-3,785.20-1,564.13

Finding the Fourth Proportional to 2,742.28, 3,785.20 and 1,564.13

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Solution

The fourth proportional to 2,742.28, 3,785.20 and 1,564.13 is: 2,158.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.28 : 3,785.20 = 1,564.13 : x
  2. Step 2: Convert to fraction form
    2,742.28/3,785.20 = 1,564.13/x
  3. Step 3: Cross multiply
    2,742.28x = 3,785.20 × 1,564.13
  4. Step 4: Simplify right side
    2,742.28x = 5,920,550.43
  5. Step 5: Solve for x
    x = 5,920,550.43/2,742.28
  6. Step 6: Final answer
    x = 2,158.99

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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.