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Finding the Fourth Proportional to 3,778.62, 5,671.52 and 2,320.62

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Solution

The fourth proportional to 3,778.62, 5,671.52 and 2,320.62 is: 3,483.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.62 : 5,671.52 = 2,320.62 : x
  2. Step 2: Convert to fraction form
    3,778.62/5,671.52 = 2,320.62/x
  3. Step 3: Cross multiply
    3,778.62x = 5,671.52 × 2,320.62
  4. Step 4: Simplify right side
    3,778.62x = 13,161,442.74
  5. Step 5: Solve for x
    x = 13,161,442.74/3,778.62
  6. Step 6: Final answer
    x = 3,483.13

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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.