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Finding the Fourth Proportional to 2,868.61, 4,301.14 and 1,880.21

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Solution

The fourth proportional to 2,868.61, 4,301.14 and 1,880.21 is: 2,819.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,868.61 : 4,301.14 = 1,880.21 : x
  2. Step 2: Convert to fraction form
    2,868.61/4,301.14 = 1,880.21/x
  3. Step 3: Cross multiply
    2,868.61x = 4,301.14 × 1,880.21
  4. Step 4: Simplify right side
    2,868.61x = 8,087,046.44
  5. Step 5: Solve for x
    x = 8,087,046.44/2,868.61
  6. Step 6: Final answer
    x = 2,819.15

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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.