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Finding the Fourth Proportional to 11,767, 17,646.76 and 3,867.70

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Solution

The fourth proportional to 11,767, 17,646.76 and 3,867.70 is: 5,800.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,767 : 17,646.76 = 3,867.70 : x
  2. Step 2: Convert to fraction form
    11,767/17,646.76 = 3,867.70/x
  3. Step 3: Cross multiply
    11,767x = 17,646.76 × 3,867.70
  4. Step 4: Simplify right side
    11,767x = 68,252,266.08
  5. Step 5: Solve for x
    x = 68,252,266.08/11,767
  6. Step 6: Final answer
    x = 5,800.31

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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.