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Finding the Fourth Proportional to 8,449.29, 11,648.88 and 6,931.28

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Solution

The fourth proportional to 8,449.29, 11,648.88 and 6,931.28 is: 9,556.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,449.29 : 11,648.88 = 6,931.28 : x
  2. Step 2: Convert to fraction form
    8,449.29/11,648.88 = 6,931.28/x
  3. Step 3: Cross multiply
    8,449.29x = 11,648.88 × 6,931.28
  4. Step 4: Simplify right side
    8,449.29x = 80,741,678.09
  5. Step 5: Solve for x
    x = 80,741,678.09/8,449.29
  6. Step 6: Final answer
    x = 9,556.03

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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.