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Finding the Fourth Proportional to 11,811.88, 16,318.02 and 9,539.83

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Solution

The fourth proportional to 11,811.88, 16,318.02 and 9,539.83 is: 13,179.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.88 : 16,318.02 = 9,539.83 : x
  2. Step 2: Convert to fraction form
    11,811.88/16,318.02 = 9,539.83/x
  3. Step 3: Cross multiply
    11,811.88x = 16,318.02 × 9,539.83
  4. Step 4: Simplify right side
    11,811.88x = 155,671,136.74
  5. Step 5: Solve for x
    x = 155,671,136.74/11,811.88
  6. Step 6: Final answer
    x = 13,179.20

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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.