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Finding the Fourth Proportional to 12,756, 19,134.72 and 4,548

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Solution

The fourth proportional to 12,756, 19,134.72 and 4,548 is: 6,822.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,756 : 19,134.72 = 4,548 : x
  2. Step 2: Convert to fraction form
    12,756/19,134.72 = 4,548/x
  3. Step 3: Cross multiply
    12,756x = 19,134.72 × 4,548
  4. Step 4: Simplify right side
    12,756x = 87,024,706.56
  5. Step 5: Solve for x
    x = 87,024,706.56/12,756
  6. Step 6: Final answer
    x = 6,822.26

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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.