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Finding the Fourth Proportional to 2,907.92, 4,361.88 and 1,177.76

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Solution

The fourth proportional to 2,907.92, 4,361.88 and 1,177.76 is: 1,766.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.92 : 4,361.88 = 1,177.76 : x
  2. Step 2: Convert to fraction form
    2,907.92/4,361.88 = 1,177.76/x
  3. Step 3: Cross multiply
    2,907.92x = 4,361.88 × 1,177.76
  4. Step 4: Simplify right side
    2,907.92x = 5,137,247.79
  5. Step 5: Solve for x
    x = 5,137,247.79/2,907.92
  6. Step 6: Final answer
    x = 1,766.64

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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.