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Finding the Fourth Proportional to 8,665.30, 11,947.26 and 7,231.72

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Solution

The fourth proportional to 8,665.30, 11,947.26 and 7,231.72 is: 9,970.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,665.30 : 11,947.26 = 7,231.72 : x
  2. Step 2: Convert to fraction form
    8,665.30/11,947.26 = 7,231.72/x
  3. Step 3: Cross multiply
    8,665.30x = 11,947.26 × 7,231.72
  4. Step 4: Simplify right side
    8,665.30x = 86,399,209.22
  5. Step 5: Solve for x
    x = 86,399,209.22/8,665.30
  6. Step 6: Final answer
    x = 9,970.71

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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.