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Finding the Fourth Proportional to 3,915.36, 5,869.20 and 1,608.48

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Solution

The fourth proportional to 3,915.36, 5,869.20 and 1,608.48 is: 2,411.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.36 : 5,869.20 = 1,608.48 : x
  2. Step 2: Convert to fraction form
    3,915.36/5,869.20 = 1,608.48/x
  3. Step 3: Cross multiply
    3,915.36x = 5,869.20 × 1,608.48
  4. Step 4: Simplify right side
    3,915.36x = 9,440,490.82
  5. Step 5: Solve for x
    x = 9,440,490.82/3,915.36
  6. Step 6: Final answer
    x = 2,411.14

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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.