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Finding the Fourth Proportional to 4,651.22, 6,970.90 and 2,180.60

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Solution

The fourth proportional to 4,651.22, 6,970.90 and 2,180.60 is: 3,268.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.22 : 6,970.90 = 2,180.60 : x
  2. Step 2: Convert to fraction form
    4,651.22/6,970.90 = 2,180.60/x
  3. Step 3: Cross multiply
    4,651.22x = 6,970.90 × 2,180.60
  4. Step 4: Simplify right side
    4,651.22x = 15,200,698.78
  5. Step 5: Solve for x
    x = 15,200,698.78/4,651.22
  6. Step 6: Final answer
    x = 3,268.11

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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.