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Finding the Fourth Proportional to 3,271.68, 4,907.40 and 806.48

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Solution

The fourth proportional to 3,271.68, 4,907.40 and 806.48 is: 1,209.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.68 : 4,907.40 = 806.48 : x
  2. Step 2: Convert to fraction form
    3,271.68/4,907.40 = 806.48/x
  3. Step 3: Cross multiply
    3,271.68x = 4,907.40 × 806.48
  4. Step 4: Simplify right side
    3,271.68x = 3,957,719.95
  5. Step 5: Solve for x
    x = 3,957,719.95/3,271.68
  6. Step 6: Final answer
    x = 1,209.69

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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.