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Finding the Fourth Proportional to 9,806.91, 13,534.34 and 5,615.43

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Solution

The fourth proportional to 9,806.91, 13,534.34 and 5,615.43 is: 7,749.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.91 : 13,534.34 = 5,615.43 : x
  2. Step 2: Convert to fraction form
    9,806.91/13,534.34 = 5,615.43/x
  3. Step 3: Cross multiply
    9,806.91x = 13,534.34 × 5,615.43
  4. Step 4: Simplify right side
    9,806.91x = 76,001,110.79
  5. Step 5: Solve for x
    x = 76,001,110.79/9,806.91
  6. Step 6: Final answer
    x = 7,749.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.