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Finding the Fourth Proportional to 2,149.20, 3,013.20 and 2,149.20

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Solution

The fourth proportional to 2,149.20, 3,013.20 and 2,149.20 is: 3,013.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.20 : 3,013.20 = 2,149.20 : x
  2. Step 2: Convert to fraction form
    2,149.20/3,013.20 = 2,149.20/x
  3. Step 3: Cross multiply
    2,149.20x = 3,013.20 × 2,149.20
  4. Step 4: Simplify right side
    2,149.20x = 6,475,969.44
  5. Step 5: Solve for x
    x = 6,475,969.44/2,149.20
  6. Step 6: Final answer
    x = 3,013.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.