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Finding the Fourth Proportional to 23,776.80, 32,811.60 and 13,166.40

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Solution

The fourth proportional to 23,776.80, 32,811.60 and 13,166.40 is: 18,169.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,776.80 : 32,811.60 = 13,166.40 : x
  2. Step 2: Convert to fraction form
    23,776.80/32,811.60 = 13,166.40/x
  3. Step 3: Cross multiply
    23,776.80x = 32,811.60 × 13,166.40
  4. Step 4: Simplify right side
    23,776.80x = 432,010,650.24
  5. Step 5: Solve for x
    x = 432,010,650.24/23,776.80
  6. Step 6: Final answer
    x = 18,169.42

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