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Finding the Fourth Proportional to 8,438, 12,662.76 and 2,966

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Solution

The fourth proportional to 8,438, 12,662.76 and 2,966 is: 4,451.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438 : 12,662.76 = 2,966 : x
  2. Step 2: Convert to fraction form
    8,438/12,662.76 = 2,966/x
  3. Step 3: Cross multiply
    8,438x = 12,662.76 × 2,966
  4. Step 4: Simplify right side
    8,438x = 37,557,746.16
  5. Step 5: Solve for x
    x = 37,557,746.16/8,438
  6. Step 6: Final answer
    x = 4,451.02

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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.