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Finding the Fourth Proportional to 8,052.70, 12,075.45 and 3,120.70

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Solution

The fourth proportional to 8,052.70, 12,075.45 and 3,120.70 is: 4,679.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,052.70 : 12,075.45 = 3,120.70 : x
  2. Step 2: Convert to fraction form
    8,052.70/12,075.45 = 3,120.70/x
  3. Step 3: Cross multiply
    8,052.70x = 12,075.45 × 3,120.70
  4. Step 4: Simplify right side
    8,052.70x = 37,683,856.82
  5. Step 5: Solve for x
    x = 37,683,856.82/8,052.70
  6. Step 6: Final answer
    x = 4,679.65

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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.