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Finding the Fourth Proportional to 12,756, 19,134.08 and 3,522.08

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Solution

The fourth proportional to 12,756, 19,134.08 and 3,522.08 is: 5,283.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,756 : 19,134.08 = 3,522.08 : x
  2. Step 2: Convert to fraction form
    12,756/19,134.08 = 3,522.08/x
  3. Step 3: Cross multiply
    12,756x = 19,134.08 × 3,522.08
  4. Step 4: Simplify right side
    12,756x = 67,391,760.49
  5. Step 5: Solve for x
    x = 67,391,760.49/12,756
  6. Step 6: Final answer
    x = 5,283.14

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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.