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Finding the Fourth Proportional to 2,915.32, 4,369.74 and 1,916.62

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Solution

The fourth proportional to 2,915.32, 4,369.74 and 1,916.62 is: 2,872.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,915.32 : 4,369.74 = 1,916.62 : x
  2. Step 2: Convert to fraction form
    2,915.32/4,369.74 = 1,916.62/x
  3. Step 3: Cross multiply
    2,915.32x = 4,369.74 × 1,916.62
  4. Step 4: Simplify right side
    2,915.32x = 8,375,131.08
  5. Step 5: Solve for x
    x = 8,375,131.08/2,915.32
  6. Step 6: Final answer
    x = 2,872.80

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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.