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Finding the Fourth Proportional to 8,311, 11,470.65 and 4,955.75

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Solution

The fourth proportional to 8,311, 11,470.65 and 4,955.75 is: 6,839.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311 : 11,470.65 = 4,955.75 : x
  2. Step 2: Convert to fraction form
    8,311/11,470.65 = 4,955.75/x
  3. Step 3: Cross multiply
    8,311x = 11,470.65 × 4,955.75
  4. Step 4: Simplify right side
    8,311x = 56,845,673.74
  5. Step 5: Solve for x
    x = 56,845,673.74/8,311
  6. Step 6: Final answer
    x = 6,839.81

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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.