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Finding the Fourth Proportional to 3,281.24, 4,921.12 and 941.20

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Solution

The fourth proportional to 3,281.24, 4,921.12 and 941.20 is: 1,411.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.24 : 4,921.12 = 941.20 : x
  2. Step 2: Convert to fraction form
    3,281.24/4,921.12 = 941.20/x
  3. Step 3: Cross multiply
    3,281.24x = 4,921.12 × 941.20
  4. Step 4: Simplify right side
    3,281.24x = 4,631,758.14
  5. Step 5: Solve for x
    x = 4,631,758.14/3,281.24
  6. Step 6: Final answer
    x = 1,411.59

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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.