Home / 2,742.84-3,785.28-1,564.29

Finding the Fourth Proportional to 2,742.84, 3,785.28 and 1,564.29

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Solution

The fourth proportional to 2,742.84, 3,785.28 and 1,564.29 is: 2,158.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.84 : 3,785.28 = 1,564.29 : x
  2. Step 2: Convert to fraction form
    2,742.84/3,785.28 = 1,564.29/x
  3. Step 3: Cross multiply
    2,742.84x = 3,785.28 × 1,564.29
  4. Step 4: Simplify right side
    2,742.84x = 5,921,275.65
  5. Step 5: Solve for x
    x = 5,921,275.65/2,742.84
  6. Step 6: Final answer
    x = 2,158.81

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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.