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Finding the Fourth Proportional to 3,106.92, 4,658.78 and 915.37

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Solution

The fourth proportional to 3,106.92, 4,658.78 and 915.37 is: 1,372.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.92 : 4,658.78 = 915.37 : x
  2. Step 2: Convert to fraction form
    3,106.92/4,658.78 = 915.37/x
  3. Step 3: Cross multiply
    3,106.92x = 4,658.78 × 915.37
  4. Step 4: Simplify right side
    3,106.92x = 4,264,479.58
  5. Step 5: Solve for x
    x = 4,264,479.58/3,106.92
  6. Step 6: Final answer
    x = 1,372.57

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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.