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Finding the Fourth Proportional to 7,978.48, 11,972.88 and 3,361.52

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Solution

The fourth proportional to 7,978.48, 11,972.88 and 3,361.52 is: 5,044.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.48 : 11,972.88 = 3,361.52 : x
  2. Step 2: Convert to fraction form
    7,978.48/11,972.88 = 3,361.52/x
  3. Step 3: Cross multiply
    7,978.48x = 11,972.88 × 3,361.52
  4. Step 4: Simplify right side
    7,978.48x = 40,247,075.58
  5. Step 5: Solve for x
    x = 40,247,075.58/7,978.48
  6. Step 6: Final answer
    x = 5,044.45

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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.