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Finding the Fourth Proportional to 3,980.34, 5,972.33 and 1,515.71

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Solution

The fourth proportional to 3,980.34, 5,972.33 and 1,515.71 is: 2,274.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.34 : 5,972.33 = 1,515.71 : x
  2. Step 2: Convert to fraction form
    3,980.34/5,972.33 = 1,515.71/x
  3. Step 3: Cross multiply
    3,980.34x = 5,972.33 × 1,515.71
  4. Step 4: Simplify right side
    3,980.34x = 9,052,339.02
  5. Step 5: Solve for x
    x = 9,052,339.02/3,980.34
  6. Step 6: Final answer
    x = 2,274.26

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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.