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Finding the Fourth Proportional to 3,290.87, 4,938.46 and 1,210.90

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Solution

The fourth proportional to 3,290.87, 4,938.46 and 1,210.90 is: 1,817.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.87 : 4,938.46 = 1,210.90 : x
  2. Step 2: Convert to fraction form
    3,290.87/4,938.46 = 1,210.90/x
  3. Step 3: Cross multiply
    3,290.87x = 4,938.46 × 1,210.90
  4. Step 4: Simplify right side
    3,290.87x = 5,979,965.84
  5. Step 5: Solve for x
    x = 5,979,965.84/3,290.87
  6. Step 6: Final answer
    x = 1,817.14

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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.