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Finding the Fourth Proportional to 9,709.27, 13,401.25 and 5,731.66

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Solution

The fourth proportional to 9,709.27, 13,401.25 and 5,731.66 is: 7,911.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.27 : 13,401.25 = 5,731.66 : x
  2. Step 2: Convert to fraction form
    9,709.27/13,401.25 = 5,731.66/x
  3. Step 3: Cross multiply
    9,709.27x = 13,401.25 × 5,731.66
  4. Step 4: Simplify right side
    9,709.27x = 76,811,411.00
  5. Step 5: Solve for x
    x = 76,811,411.00/9,709.27
  6. Step 6: Final answer
    x = 7,911.14

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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.