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Finding the Fourth Proportional to 16,415.20, 24,622.80 and 11,166.40

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Solution

The fourth proportional to 16,415.20, 24,622.80 and 11,166.40 is: 16,749.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,415.20 : 24,622.80 = 11,166.40 : x
  2. Step 2: Convert to fraction form
    16,415.20/24,622.80 = 11,166.40/x
  3. Step 3: Cross multiply
    16,415.20x = 24,622.80 × 11,166.40
  4. Step 4: Simplify right side
    16,415.20x = 274,948,033.92
  5. Step 5: Solve for x
    x = 274,948,033.92/16,415.20
  6. Step 6: Final answer
    x = 16,749.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.