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Finding the Fourth Proportional to 11,702, 17,530.78 and 6,948.12

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Solution

The fourth proportional to 11,702, 17,530.78 and 6,948.12 is: 10,408.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702 : 17,530.78 = 6,948.12 : x
  2. Step 2: Convert to fraction form
    11,702/17,530.78 = 6,948.12/x
  3. Step 3: Cross multiply
    11,702x = 17,530.78 × 6,948.12
  4. Step 4: Simplify right side
    11,702x = 121,805,963.13
  5. Step 5: Solve for x
    x = 121,805,963.13/11,702
  6. Step 6: Final answer
    x = 10,408.99

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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.