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Finding the Fourth Proportional to 1,915.34, 2,872.33 and 616.46

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Solution

The fourth proportional to 1,915.34, 2,872.33 and 616.46 is: 924.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,915.34 : 2,872.33 = 616.46 : x
  2. Step 2: Convert to fraction form
    1,915.34/2,872.33 = 616.46/x
  3. Step 3: Cross multiply
    1,915.34x = 2,872.33 × 616.46
  4. Step 4: Simplify right side
    1,915.34x = 1,770,676.55
  5. Step 5: Solve for x
    x = 1,770,676.55/1,915.34
  6. Step 6: Final answer
    x = 924.47

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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.