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Finding the Fourth Proportional to 11,370, 15,691.07 and 6,334.22

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Solution

The fourth proportional to 11,370, 15,691.07 and 6,334.22 is: 8,741.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,370 : 15,691.07 = 6,334.22 : x
  2. Step 2: Convert to fraction form
    11,370/15,691.07 = 6,334.22/x
  3. Step 3: Cross multiply
    11,370x = 15,691.07 × 6,334.22
  4. Step 4: Simplify right side
    11,370x = 99,390,744.48
  5. Step 5: Solve for x
    x = 99,390,744.48/11,370
  6. Step 6: Final answer
    x = 8,741.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.