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Finding the Fourth Proportional to 12,438, 18,662.40 and 6,204.24

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Solution

The fourth proportional to 12,438, 18,662.40 and 6,204.24 is: 9,309.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,438 : 18,662.40 = 6,204.24 : x
  2. Step 2: Convert to fraction form
    12,438/18,662.40 = 6,204.24/x
  3. Step 3: Cross multiply
    12,438x = 18,662.40 × 6,204.24
  4. Step 4: Simplify right side
    12,438x = 115,786,008.58
  5. Step 5: Solve for x
    x = 115,786,008.58/12,438
  6. Step 6: Final answer
    x = 9,309.05

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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.