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Finding the Fourth Proportional to 8,067.20, 12,075.20 and 7,811.20

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Solution

The fourth proportional to 8,067.20, 12,075.20 and 7,811.20 is: 11,692.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,067.20 : 12,075.20 = 7,811.20 : x
  2. Step 2: Convert to fraction form
    8,067.20/12,075.20 = 7,811.20/x
  3. Step 3: Cross multiply
    8,067.20x = 12,075.20 × 7,811.20
  4. Step 4: Simplify right side
    8,067.20x = 94,321,802.24
  5. Step 5: Solve for x
    x = 94,321,802.24/8,067.20
  6. Step 6: Final answer
    x = 11,692.01

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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.