Home / 5,742-8,612.52-2,819.28

Finding the Fourth Proportional to 5,742, 8,612.52 and 2,819.28

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Solution

The fourth proportional to 5,742, 8,612.52 and 2,819.28 is: 4,228.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742 : 8,612.52 = 2,819.28 : x
  2. Step 2: Convert to fraction form
    5,742/8,612.52 = 2,819.28/x
  3. Step 3: Cross multiply
    5,742x = 8,612.52 × 2,819.28
  4. Step 4: Simplify right side
    5,742x = 24,281,105.39
  5. Step 5: Solve for x
    x = 24,281,105.39/5,742
  6. Step 6: Final answer
    x = 4,228.68

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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.