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Finding the Fourth Proportional to 12,166.78, 18,253.02 and 5,147.43

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Solution

The fourth proportional to 12,166.78, 18,253.02 and 5,147.43 is: 7,722.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166.78 : 18,253.02 = 5,147.43 : x
  2. Step 2: Convert to fraction form
    12,166.78/18,253.02 = 5,147.43/x
  3. Step 3: Cross multiply
    12,166.78x = 18,253.02 × 5,147.43
  4. Step 4: Simplify right side
    12,166.78x = 93,956,142.74
  5. Step 5: Solve for x
    x = 93,956,142.74/12,166.78
  6. Step 6: Final answer
    x = 7,722.35

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1.5x scale

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.