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Finding the Fourth Proportional to 7,661.84, 11,494.99 and 2,731.87

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Solution

The fourth proportional to 7,661.84, 11,494.99 and 2,731.87 is: 4,098.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661.84 : 11,494.99 = 2,731.87 : x
  2. Step 2: Convert to fraction form
    7,661.84/11,494.99 = 2,731.87/x
  3. Step 3: Cross multiply
    7,661.84x = 11,494.99 × 2,731.87
  4. Step 4: Simplify right side
    7,661.84x = 31,402,818.33
  5. Step 5: Solve for x
    x = 31,402,818.33/7,661.84
  6. Step 6: Final answer
    x = 4,098.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.