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Finding the Fourth Proportional to 8,494.31, 11,707.57 and 7,310.63

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Solution

The fourth proportional to 8,494.31, 11,707.57 and 7,310.63 is: 10,076.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.31 : 11,707.57 = 7,310.63 : x
  2. Step 2: Convert to fraction form
    8,494.31/11,707.57 = 7,310.63/x
  3. Step 3: Cross multiply
    8,494.31x = 11,707.57 × 7,310.63
  4. Step 4: Simplify right side
    8,494.31x = 85,589,712.47
  5. Step 5: Solve for x
    x = 85,589,712.47/8,494.31
  6. Step 6: Final answer
    x = 10,076.12

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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.