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Finding the Fourth Proportional to 2,470.20, 3,698.10 and 2,182.20

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Solution

The fourth proportional to 2,470.20, 3,698.10 and 2,182.20 is: 3,266.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.20 : 3,698.10 = 2,182.20 : x
  2. Step 2: Convert to fraction form
    2,470.20/3,698.10 = 2,182.20/x
  3. Step 3: Cross multiply
    2,470.20x = 3,698.10 × 2,182.20
  4. Step 4: Simplify right side
    2,470.20x = 8,069,993.82
  5. Step 5: Solve for x
    x = 8,069,993.82/2,470.20
  6. Step 6: Final answer
    x = 3,266.94

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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.