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Finding the Fourth Proportional to 8,356.38, 11,534.79 and 5,701.89

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Solution

The fourth proportional to 8,356.38, 11,534.79 and 5,701.89 is: 7,870.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.38 : 11,534.79 = 5,701.89 : x
  2. Step 2: Convert to fraction form
    8,356.38/11,534.79 = 5,701.89/x
  3. Step 3: Cross multiply
    8,356.38x = 11,534.79 × 5,701.89
  4. Step 4: Simplify right side
    8,356.38x = 65,770,103.75
  5. Step 5: Solve for x
    x = 65,770,103.75/8,356.38
  6. Step 6: Final answer
    x = 7,870.65

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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.