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Finding the Fourth Proportional to 3,972.80, 5,954.72 and 1,506.08

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Solution

The fourth proportional to 3,972.80, 5,954.72 and 1,506.08 is: 2,257.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.80 : 5,954.72 = 1,506.08 : x
  2. Step 2: Convert to fraction form
    3,972.80/5,954.72 = 1,506.08/x
  3. Step 3: Cross multiply
    3,972.80x = 5,954.72 × 1,506.08
  4. Step 4: Simplify right side
    3,972.80x = 8,968,284.70
  5. Step 5: Solve for x
    x = 8,968,284.70/3,972.80
  6. Step 6: Final answer
    x = 2,257.42

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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.