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Finding the Fourth Proportional to 4,971.78, 7,450.38 and 3,513.78

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Solution

The fourth proportional to 4,971.78, 7,450.38 and 3,513.78 is: 5,265.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.78 : 7,450.38 = 3,513.78 : x
  2. Step 2: Convert to fraction form
    4,971.78/7,450.38 = 3,513.78/x
  3. Step 3: Cross multiply
    4,971.78x = 7,450.38 × 3,513.78
  4. Step 4: Simplify right side
    4,971.78x = 26,178,996.24
  5. Step 5: Solve for x
    x = 26,178,996.24/4,971.78
  6. Step 6: Final answer
    x = 5,265.52

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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.