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Finding the Fourth Proportional to 8,075.76, 12,113.30 and 2,811.98

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Solution

The fourth proportional to 8,075.76, 12,113.30 and 2,811.98 is: 4,217.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,075.76 : 12,113.30 = 2,811.98 : x
  2. Step 2: Convert to fraction form
    8,075.76/12,113.30 = 2,811.98/x
  3. Step 3: Cross multiply
    8,075.76x = 12,113.30 × 2,811.98
  4. Step 4: Simplify right side
    8,075.76x = 34,062,357.33
  5. Step 5: Solve for x
    x = 34,062,357.33/8,075.76
  6. Step 6: Final answer
    x = 4,217.85

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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.