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Finding the Fourth Proportional to 3,915.17, 5,866.14 and 1,938.16

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Solution

The fourth proportional to 3,915.17, 5,866.14 and 1,938.16 is: 2,903.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.17 : 5,866.14 = 1,938.16 : x
  2. Step 2: Convert to fraction form
    3,915.17/5,866.14 = 1,938.16/x
  3. Step 3: Cross multiply
    3,915.17x = 5,866.14 × 1,938.16
  4. Step 4: Simplify right side
    3,915.17x = 11,369,488.57
  5. Step 5: Solve for x
    x = 11,369,488.57/3,915.17
  6. Step 6: Final answer
    x = 2,903.96

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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.