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Finding the Fourth Proportional to 4,470.60, 6,698.70 and 2,824.20

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Solution

The fourth proportional to 4,470.60, 6,698.70 and 2,824.20 is: 4,231.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,470.60 : 6,698.70 = 2,824.20 : x
  2. Step 2: Convert to fraction form
    4,470.60/6,698.70 = 2,824.20/x
  3. Step 3: Cross multiply
    4,470.60x = 6,698.70 × 2,824.20
  4. Step 4: Simplify right side
    4,470.60x = 18,918,468.54
  5. Step 5: Solve for x
    x = 18,918,468.54/4,470.60
  6. Step 6: Final answer
    x = 4,231.75

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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.