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Finding the Fourth Proportional to 3,442.43, 5,155.43 and 1,880.09

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Solution

The fourth proportional to 3,442.43, 5,155.43 and 1,880.09 is: 2,815.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.43 : 5,155.43 = 1,880.09 : x
  2. Step 2: Convert to fraction form
    3,442.43/5,155.43 = 1,880.09/x
  3. Step 3: Cross multiply
    3,442.43x = 5,155.43 × 1,880.09
  4. Step 4: Simplify right side
    3,442.43x = 9,692,680.58
  5. Step 5: Solve for x
    x = 9,692,680.58/3,442.43
  6. Step 6: Final answer
    x = 2,815.65

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1.5x scale

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.