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Finding the Fourth Proportional to 5,915.68, 8,871.09 and 2,216

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Solution

The fourth proportional to 5,915.68, 8,871.09 and 2,216 is: 3,323.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,915.68 : 8,871.09 = 2,216 : x
  2. Step 2: Convert to fraction form
    5,915.68/8,871.09 = 2,216/x
  3. Step 3: Cross multiply
    5,915.68x = 8,871.09 × 2,216
  4. Step 4: Simplify right side
    5,915.68x = 19,658,324.36
  5. Step 5: Solve for x
    x = 19,658,324.36/5,915.68
  6. Step 6: Final answer
    x = 3,323.09

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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.