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Finding the Fourth Proportional to 12,767, 19,153.38 and 4,001

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Solution

The fourth proportional to 12,767, 19,153.38 and 4,001 is: 6,002.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,767 : 19,153.38 = 4,001 : x
  2. Step 2: Convert to fraction form
    12,767/19,153.38 = 4,001/x
  3. Step 3: Cross multiply
    12,767x = 19,153.38 × 4,001
  4. Step 4: Simplify right side
    12,767x = 76,632,673.38
  5. Step 5: Solve for x
    x = 76,632,673.38/12,767
  6. Step 6: Final answer
    x = 6,002.40

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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.