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Finding the Fourth Proportional to 11,775, 16,259.22 and 10,187.40

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Solution

The fourth proportional to 11,775, 16,259.22 and 10,187.40 is: 14,067.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,775 : 16,259.22 = 10,187.40 : x
  2. Step 2: Convert to fraction form
    11,775/16,259.22 = 10,187.40/x
  3. Step 3: Cross multiply
    11,775x = 16,259.22 × 10,187.40
  4. Step 4: Simplify right side
    11,775x = 165,639,177.83
  5. Step 5: Solve for x
    x = 165,639,177.83/11,775
  6. Step 6: Final answer
    x = 14,067.02

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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.