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Finding the Fourth Proportional to 3,214, 4,817.36 and 1,479.04

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Solution

The fourth proportional to 3,214, 4,817.36 and 1,479.04 is: 2,216.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214 : 4,817.36 = 1,479.04 : x
  2. Step 2: Convert to fraction form
    3,214/4,817.36 = 1,479.04/x
  3. Step 3: Cross multiply
    3,214x = 4,817.36 × 1,479.04
  4. Step 4: Simplify right side
    3,214x = 7,125,068.13
  5. Step 5: Solve for x
    x = 7,125,068.13/3,214
  6. Step 6: Final answer
    x = 2,216.88

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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.