Home / 5,164.08-7,742.88-3,407.22

Finding the Fourth Proportional to 5,164.08, 7,742.88 and 3,407.22

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Solution

The fourth proportional to 5,164.08, 7,742.88 and 3,407.22 is: 5,108.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.08 : 7,742.88 = 3,407.22 : x
  2. Step 2: Convert to fraction form
    5,164.08/7,742.88 = 3,407.22/x
  3. Step 3: Cross multiply
    5,164.08x = 7,742.88 × 3,407.22
  4. Step 4: Simplify right side
    5,164.08x = 26,381,695.59
  5. Step 5: Solve for x
    x = 26,381,695.59/5,164.08
  6. Step 6: Final answer
    x = 5,108.69

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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.