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Finding the Fourth Proportional to 11,391.14, 15,719.78 and 6,355.22

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Solution

The fourth proportional to 11,391.14, 15,719.78 and 6,355.22 is: 8,770.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,391.14 : 15,719.78 = 6,355.22 : x
  2. Step 2: Convert to fraction form
    11,391.14/15,719.78 = 6,355.22/x
  3. Step 3: Cross multiply
    11,391.14x = 15,719.78 × 6,355.22
  4. Step 4: Simplify right side
    11,391.14x = 99,902,660.25
  5. Step 5: Solve for x
    x = 99,902,660.25/11,391.14
  6. Step 6: Final answer
    x = 8,770.21

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1.5x scale

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.