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Finding the Fourth Proportional to 9,811.67, 13,540.05 and 5,335.38

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Solution

The fourth proportional to 9,811.67, 13,540.05 and 5,335.38 is: 7,362.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.67 : 13,540.05 = 5,335.38 : x
  2. Step 2: Convert to fraction form
    9,811.67/13,540.05 = 5,335.38/x
  3. Step 3: Cross multiply
    9,811.67x = 13,540.05 × 5,335.38
  4. Step 4: Simplify right side
    9,811.67x = 72,241,311.97
  5. Step 5: Solve for x
    x = 72,241,311.97/9,811.67
  6. Step 6: Final answer
    x = 7,362.80

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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.