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Finding the Fourth Proportional to 4,973.78, 7,460.67 and 2,781.31

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Solution

The fourth proportional to 4,973.78, 7,460.67 and 2,781.31 is: 4,171.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.78 : 7,460.67 = 2,781.31 : x
  2. Step 2: Convert to fraction form
    4,973.78/7,460.67 = 2,781.31/x
  3. Step 3: Cross multiply
    4,973.78x = 7,460.67 × 2,781.31
  4. Step 4: Simplify right side
    4,973.78x = 20,750,436.08
  5. Step 5: Solve for x
    x = 20,750,436.08/4,973.78
  6. Step 6: Final answer
    x = 4,171.97

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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.