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Finding the Fourth Proportional to 3,272, 4,907.12 and 931.68

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Solution

The fourth proportional to 3,272, 4,907.12 and 931.68 is: 1,397.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,272 : 4,907.12 = 931.68 : x
  2. Step 2: Convert to fraction form
    3,272/4,907.12 = 931.68/x
  3. Step 3: Cross multiply
    3,272x = 4,907.12 × 931.68
  4. Step 4: Simplify right side
    3,272x = 4,571,865.56
  5. Step 5: Solve for x
    x = 4,571,865.56/3,272
  6. Step 6: Final answer
    x = 1,397.27

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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.