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Finding the Fourth Proportional to 11,801.13, 16,303.46 and 8,811.81

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Solution

The fourth proportional to 11,801.13, 16,303.46 and 8,811.81 is: 12,173.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,801.13 : 16,303.46 = 8,811.81 : x
  2. Step 2: Convert to fraction form
    11,801.13/16,303.46 = 8,811.81/x
  3. Step 3: Cross multiply
    11,801.13x = 16,303.46 × 8,811.81
  4. Step 4: Simplify right side
    11,801.13x = 143,662,947.80
  5. Step 5: Solve for x
    x = 143,662,947.80/11,801.13
  6. Step 6: Final answer
    x = 12,173.66

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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.