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Finding the Fourth Proportional to 1,915.35, 2,886.06 and 1,576.29

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Solution

The fourth proportional to 1,915.35, 2,886.06 and 1,576.29 is: 2,375.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,915.35 : 2,886.06 = 1,576.29 : x
  2. Step 2: Convert to fraction form
    1,915.35/2,886.06 = 1,576.29/x
  3. Step 3: Cross multiply
    1,915.35x = 2,886.06 × 1,576.29
  4. Step 4: Simplify right side
    1,915.35x = 4,549,267.52
  5. Step 5: Solve for x
    x = 4,549,267.52/1,915.35
  6. Step 6: Final answer
    x = 2,375.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.