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Finding the Fourth Proportional to 8,353.40, 11,538.94 and 6,686.74

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Solution

The fourth proportional to 8,353.40, 11,538.94 and 6,686.74 is: 9,236.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,353.40 : 11,538.94 = 6,686.74 : x
  2. Step 2: Convert to fraction form
    8,353.40/11,538.94 = 6,686.74/x
  3. Step 3: Cross multiply
    8,353.40x = 11,538.94 × 6,686.74
  4. Step 4: Simplify right side
    8,353.40x = 77,157,891.66
  5. Step 5: Solve for x
    x = 77,157,891.66/8,353.40
  6. Step 6: Final answer
    x = 9,236.71

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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.