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Finding the Fourth Proportional to 12,426, 18,640.12 and 3,192.08

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Solution

The fourth proportional to 12,426, 18,640.12 and 3,192.08 is: 4,788.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,426 : 18,640.12 = 3,192.08 : x
  2. Step 2: Convert to fraction form
    12,426/18,640.12 = 3,192.08/x
  3. Step 3: Cross multiply
    12,426x = 18,640.12 × 3,192.08
  4. Step 4: Simplify right side
    12,426x = 59,500,754.25
  5. Step 5: Solve for x
    x = 59,500,754.25/12,426
  6. Step 6: Final answer
    x = 4,788.41

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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.