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Finding the Fourth Proportional to 8,289, 12,436.98 and 3,362.16

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Solution

The fourth proportional to 8,289, 12,436.98 and 3,362.16 is: 5,044.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289 : 12,436.98 = 3,362.16 : x
  2. Step 2: Convert to fraction form
    8,289/12,436.98 = 3,362.16/x
  3. Step 3: Cross multiply
    8,289x = 12,436.98 × 3,362.16
  4. Step 4: Simplify right side
    8,289x = 41,815,116.68
  5. Step 5: Solve for x
    x = 41,815,116.68/8,289
  6. Step 6: Final answer
    x = 5,044.65

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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.