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Finding the Fourth Proportional to 11,807.79, 16,292.37 and 8,974.41

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Solution

The fourth proportional to 11,807.79, 16,292.37 and 8,974.41 is: 12,382.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.79 : 16,292.37 = 8,974.41 : x
  2. Step 2: Convert to fraction form
    11,807.79/16,292.37 = 8,974.41/x
  3. Step 3: Cross multiply
    11,807.79x = 16,292.37 × 8,974.41
  4. Step 4: Simplify right side
    11,807.79x = 146,214,408.25
  5. Step 5: Solve for x
    x = 146,214,408.25/11,807.79
  6. Step 6: Final answer
    x = 12,382.88

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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.