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Finding the Fourth Proportional to 1,915.37, 2,872.50 and 874.82

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Solution

The fourth proportional to 1,915.37, 2,872.50 and 874.82 is: 1,311.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,915.37 : 2,872.50 = 874.82 : x
  2. Step 2: Convert to fraction form
    1,915.37/2,872.50 = 874.82/x
  3. Step 3: Cross multiply
    1,915.37x = 2,872.50 × 874.82
  4. Step 4: Simplify right side
    1,915.37x = 2,512,930.91
  5. Step 5: Solve for x
    x = 2,512,930.91/1,915.37
  6. Step 6: Final answer
    x = 1,311.98

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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.