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Finding the Fourth Proportional to 8,667.81, 11,932.65 and 8,271.09

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Solution

The fourth proportional to 8,667.81, 11,932.65 and 8,271.09 is: 11,386.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,667.81 : 11,932.65 = 8,271.09 : x
  2. Step 2: Convert to fraction form
    8,667.81/11,932.65 = 8,271.09/x
  3. Step 3: Cross multiply
    8,667.81x = 11,932.65 × 8,271.09
  4. Step 4: Simplify right side
    8,667.81x = 98,696,022.09
  5. Step 5: Solve for x
    x = 98,696,022.09/8,667.81
  6. Step 6: Final answer
    x = 11,386.50

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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.