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Finding the Fourth Proportional to 8,486.24, 12,732.96 and 7,816

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Solution

The fourth proportional to 8,486.24, 12,732.96 and 7,816 is: 11,727.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,486.24 : 12,732.96 = 7,816 : x
  2. Step 2: Convert to fraction form
    8,486.24/12,732.96 = 7,816/x
  3. Step 3: Cross multiply
    8,486.24x = 12,732.96 × 7,816
  4. Step 4: Simplify right side
    8,486.24x = 99,520,815.36
  5. Step 5: Solve for x
    x = 99,520,815.36/8,486.24
  6. Step 6: Final answer
    x = 11,727.32

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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.