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Finding the Fourth Proportional to 12,251.10, 16,905.42 and 8,277.54

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Solution

The fourth proportional to 12,251.10, 16,905.42 and 8,277.54 is: 11,422.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,251.10 : 16,905.42 = 8,277.54 : x
  2. Step 2: Convert to fraction form
    12,251.10/16,905.42 = 8,277.54/x
  3. Step 3: Cross multiply
    12,251.10x = 16,905.42 × 8,277.54
  4. Step 4: Simplify right side
    12,251.10x = 139,935,290.27
  5. Step 5: Solve for x
    x = 139,935,290.27/12,251.10
  6. Step 6: Final answer
    x = 11,422.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.