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Finding the Fourth Proportional to 3,915.84, 5,404.56 and 2,926.08

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Solution

The fourth proportional to 3,915.84, 5,404.56 and 2,926.08 is: 4,038.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.84 : 5,404.56 = 2,926.08 : x
  2. Step 2: Convert to fraction form
    3,915.84/5,404.56 = 2,926.08/x
  3. Step 3: Cross multiply
    3,915.84x = 5,404.56 × 2,926.08
  4. Step 4: Simplify right side
    3,915.84x = 15,814,174.92
  5. Step 5: Solve for x
    x = 15,814,174.92/3,915.84
  6. Step 6: Final answer
    x = 4,038.51

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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.