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Finding the Fourth Proportional to 8,187.81, 11,314.49 and 6,975.82

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Solution

The fourth proportional to 8,187.81, 11,314.49 and 6,975.82 is: 9,639.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187.81 : 11,314.49 = 6,975.82 : x
  2. Step 2: Convert to fraction form
    8,187.81/11,314.49 = 6,975.82/x
  3. Step 3: Cross multiply
    8,187.81x = 11,314.49 × 6,975.82
  4. Step 4: Simplify right side
    8,187.81x = 78,927,845.63
  5. Step 5: Solve for x
    x = 78,927,845.63/8,187.81
  6. Step 6: Final answer
    x = 9,639.68

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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.