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Finding the Fourth Proportional to 1,915.85, 2,873.04 and 745.70

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Solution

The fourth proportional to 1,915.85, 2,873.04 and 745.70 is: 1,118.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,915.85 : 2,873.04 = 745.70 : x
  2. Step 2: Convert to fraction form
    1,915.85/2,873.04 = 745.70/x
  3. Step 3: Cross multiply
    1,915.85x = 2,873.04 × 745.70
  4. Step 4: Simplify right side
    1,915.85x = 2,142,425.93
  5. Step 5: Solve for x
    x = 2,142,425.93/1,915.85
  6. Step 6: Final answer
    x = 1,118.26

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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.