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Finding the Fourth Proportional to 4,978.70, 7,467.60 and 1,691.90

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Solution

The fourth proportional to 4,978.70, 7,467.60 and 1,691.90 is: 2,537.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.70 : 7,467.60 = 1,691.90 : x
  2. Step 2: Convert to fraction form
    4,978.70/7,467.60 = 1,691.90/x
  3. Step 3: Cross multiply
    4,978.70x = 7,467.60 × 1,691.90
  4. Step 4: Simplify right side
    4,978.70x = 12,634,432.44
  5. Step 5: Solve for x
    x = 12,634,432.44/4,978.70
  6. Step 6: Final answer
    x = 2,537.70

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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.