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Finding the Fourth Proportional to 16,621.20, 24,920.64 and 7,848

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Solution

The fourth proportional to 16,621.20, 24,920.64 and 7,848 is: 11,766.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,621.20 : 24,920.64 = 7,848 : x
  2. Step 2: Convert to fraction form
    16,621.20/24,920.64 = 7,848/x
  3. Step 3: Cross multiply
    16,621.20x = 24,920.64 × 7,848
  4. Step 4: Simplify right side
    16,621.20x = 195,577,182.72
  5. Step 5: Solve for x
    x = 195,577,182.72/16,621.20
  6. Step 6: Final answer
    x = 11,766.73

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Why These Related Problems?

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