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Finding the Fourth Proportional to 3,915.84, 5,866.20 and 2,267.22

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Solution

The fourth proportional to 3,915.84, 5,866.20 and 2,267.22 is: 3,396.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.84 : 5,866.20 = 2,267.22 : x
  2. Step 2: Convert to fraction form
    3,915.84/5,866.20 = 2,267.22/x
  3. Step 3: Cross multiply
    3,915.84x = 5,866.20 × 2,267.22
  4. Step 4: Simplify right side
    3,915.84x = 13,299,965.96
  5. Step 5: Solve for x
    x = 13,299,965.96/3,915.84
  6. Step 6: Final answer
    x = 3,396.45

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