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Finding the Fourth Proportional to 2,998.25, 4,138.12 and 1,880.15

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Solution

The fourth proportional to 2,998.25, 4,138.12 and 1,880.15 is: 2,594.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.25 : 4,138.12 = 1,880.15 : x
  2. Step 2: Convert to fraction form
    2,998.25/4,138.12 = 1,880.15/x
  3. Step 3: Cross multiply
    2,998.25x = 4,138.12 × 1,880.15
  4. Step 4: Simplify right side
    2,998.25x = 7,780,276.92
  5. Step 5: Solve for x
    x = 7,780,276.92/2,998.25
  6. Step 6: Final answer
    x = 2,594.94

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1.5x scale

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.