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Finding the Fourth Proportional to 8,075, 12,106.56 and 3,076.49

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Solution

The fourth proportional to 8,075, 12,106.56 and 3,076.49 is: 4,612.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,075 : 12,106.56 = 3,076.49 : x
  2. Step 2: Convert to fraction form
    8,075/12,106.56 = 3,076.49/x
  3. Step 3: Cross multiply
    8,075x = 12,106.56 × 3,076.49
  4. Step 4: Simplify right side
    8,075x = 37,245,710.77
  5. Step 5: Solve for x
    x = 37,245,710.77/8,075
  6. Step 6: Final answer
    x = 4,612.47

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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.