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Finding the Fourth Proportional to 4,701.78, 7,046.46 and 2,505.78

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Solution

The fourth proportional to 4,701.78, 7,046.46 and 2,505.78 is: 3,755.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,701.78 : 7,046.46 = 2,505.78 : x
  2. Step 2: Convert to fraction form
    4,701.78/7,046.46 = 2,505.78/x
  3. Step 3: Cross multiply
    4,701.78x = 7,046.46 × 2,505.78
  4. Step 4: Simplify right side
    4,701.78x = 17,656,878.54
  5. Step 5: Solve for x
    x = 17,656,878.54/4,701.78
  6. Step 6: Final answer
    x = 3,755.36

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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.