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Finding the Fourth Proportional to 4,907.80, 6,772.74 and 2,811.92

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Solution

The fourth proportional to 4,907.80, 6,772.74 and 2,811.92 is: 3,880.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907.80 : 6,772.74 = 2,811.92 : x
  2. Step 2: Convert to fraction form
    4,907.80/6,772.74 = 2,811.92/x
  3. Step 3: Cross multiply
    4,907.80x = 6,772.74 × 2,811.92
  4. Step 4: Simplify right side
    4,907.80x = 19,044,403.06
  5. Step 5: Solve for x
    x = 19,044,403.06/4,907.80
  6. Step 6: Final answer
    x = 3,880.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.