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Finding the Fourth Proportional to 1,915.22, 2,871.92 and 874.91

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Solution

The fourth proportional to 1,915.22, 2,871.92 and 874.91 is: 1,311.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,915.22 : 2,871.92 = 874.91 : x
  2. Step 2: Convert to fraction form
    1,915.22/2,871.92 = 874.91/x
  3. Step 3: Cross multiply
    1,915.22x = 2,871.92 × 874.91
  4. Step 4: Simplify right side
    1,915.22x = 2,512,681.24
  5. Step 5: Solve for x
    x = 2,512,681.24/1,915.22
  6. Step 6: Final answer
    x = 1,311.95

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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.