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Finding the Fourth Proportional to 6,781, 9,358.86 and 3,986.50

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Solution

The fourth proportional to 6,781, 9,358.86 and 3,986.50 is: 5,502.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781 : 9,358.86 = 3,986.50 : x
  2. Step 2: Convert to fraction form
    6,781/9,358.86 = 3,986.50/x
  3. Step 3: Cross multiply
    6,781x = 9,358.86 × 3,986.50
  4. Step 4: Simplify right side
    6,781x = 37,309,095.39
  5. Step 5: Solve for x
    x = 37,309,095.39/6,781
  6. Step 6: Final answer
    x = 5,502.00

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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.