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Finding the Fourth Proportional to 4,972.78, 7,459.17 and 2,780.31

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Solution

The fourth proportional to 4,972.78, 7,459.17 and 2,780.31 is: 4,170.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.78 : 7,459.17 = 2,780.31 : x
  2. Step 2: Convert to fraction form
    4,972.78/7,459.17 = 2,780.31/x
  3. Step 3: Cross multiply
    4,972.78x = 7,459.17 × 2,780.31
  4. Step 4: Simplify right side
    4,972.78x = 20,738,804.94
  5. Step 5: Solve for x
    x = 20,738,804.94/4,972.78
  6. Step 6: Final answer
    x = 4,170.47

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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.