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Finding the Fourth Proportional to 4,847.64, 7,272.90 and 2,074.20

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Solution

The fourth proportional to 4,847.64, 7,272.90 and 2,074.20 is: 3,111.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.64 : 7,272.90 = 2,074.20 : x
  2. Step 2: Convert to fraction form
    4,847.64/7,272.90 = 2,074.20/x
  3. Step 3: Cross multiply
    4,847.64x = 7,272.90 × 2,074.20
  4. Step 4: Simplify right side
    4,847.64x = 15,085,449.18
  5. Step 5: Solve for x
    x = 15,085,449.18/4,847.64
  6. Step 6: Final answer
    x = 3,111.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.