Home / 2,742.82-3,785.08-1,564.26

Finding the Fourth Proportional to 2,742.82, 3,785.08 and 1,564.26

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Solution

The fourth proportional to 2,742.82, 3,785.08 and 1,564.26 is: 2,158.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.82 : 3,785.08 = 1,564.26 : x
  2. Step 2: Convert to fraction form
    2,742.82/3,785.08 = 1,564.26/x
  3. Step 3: Cross multiply
    2,742.82x = 3,785.08 × 1,564.26
  4. Step 4: Simplify right side
    2,742.82x = 5,920,849.24
  5. Step 5: Solve for x
    x = 5,920,849.24/2,742.82
  6. Step 6: Final answer
    x = 2,158.67

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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.