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Finding the Fourth Proportional to 15,107.36, 20,840.88 and 8,816

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Solution

The fourth proportional to 15,107.36, 20,840.88 and 8,816 is: 12,161.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,107.36 : 20,840.88 = 8,816 : x
  2. Step 2: Convert to fraction form
    15,107.36/20,840.88 = 8,816/x
  3. Step 3: Cross multiply
    15,107.36x = 20,840.88 × 8,816
  4. Step 4: Simplify right side
    15,107.36x = 183,733,198.08
  5. Step 5: Solve for x
    x = 183,733,198.08/15,107.36
  6. Step 6: Final answer
    x = 12,161.83

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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.