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Finding the Fourth Proportional to 3,211.68, 4,815.52 and 1,478.08

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Solution

The fourth proportional to 3,211.68, 4,815.52 and 1,478.08 is: 2,216.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.68 : 4,815.52 = 1,478.08 : x
  2. Step 2: Convert to fraction form
    3,211.68/4,815.52 = 1,478.08/x
  3. Step 3: Cross multiply
    3,211.68x = 4,815.52 × 1,478.08
  4. Step 4: Simplify right side
    3,211.68x = 7,117,723.80
  5. Step 5: Solve for x
    x = 7,117,723.80/3,211.68
  6. Step 6: Final answer
    x = 2,216.20

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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.