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Finding the Fourth Proportional to 8,426, 12,643.92 and 3,809

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Solution

The fourth proportional to 8,426, 12,643.92 and 3,809 is: 5,715.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,426 : 12,643.92 = 3,809 : x
  2. Step 2: Convert to fraction form
    8,426/12,643.92 = 3,809/x
  3. Step 3: Cross multiply
    8,426x = 12,643.92 × 3,809
  4. Step 4: Simplify right side
    8,426x = 48,160,691.28
  5. Step 5: Solve for x
    x = 48,160,691.28/8,426
  6. Step 6: Final answer
    x = 5,715.72

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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.