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Finding the Fourth Proportional to 1,915.88, 2,872.28 and 991.58

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Solution

The fourth proportional to 1,915.88, 2,872.28 and 991.58 is: 1,486.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,915.88 : 2,872.28 = 991.58 : x
  2. Step 2: Convert to fraction form
    1,915.88/2,872.28 = 991.58/x
  3. Step 3: Cross multiply
    1,915.88x = 2,872.28 × 991.58
  4. Step 4: Simplify right side
    1,915.88x = 2,848,083.52
  5. Step 5: Solve for x
    x = 2,848,083.52/1,915.88
  6. Step 6: Final answer
    x = 1,486.57

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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.