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Finding the Fourth Proportional to 3,290.70, 4,928.22 and 1,901.16

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Solution

The fourth proportional to 3,290.70, 4,928.22 and 1,901.16 is: 2,847.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.70 : 4,928.22 = 1,901.16 : x
  2. Step 2: Convert to fraction form
    3,290.70/4,928.22 = 1,901.16/x
  3. Step 3: Cross multiply
    3,290.70x = 4,928.22 × 1,901.16
  4. Step 4: Simplify right side
    3,290.70x = 9,369,334.74
  5. Step 5: Solve for x
    x = 9,369,334.74/3,290.70
  6. Step 6: Final answer
    x = 2,847.22

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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.