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Finding the Fourth Proportional to 2,472.78, 3,709.19 and 829.35

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Solution

The fourth proportional to 2,472.78, 3,709.19 and 829.35 is: 1,244.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.78 : 3,709.19 = 829.35 : x
  2. Step 2: Convert to fraction form
    2,472.78/3,709.19 = 829.35/x
  3. Step 3: Cross multiply
    2,472.78x = 3,709.19 × 829.35
  4. Step 4: Simplify right side
    2,472.78x = 3,076,218.80
  5. Step 5: Solve for x
    x = 3,076,218.80/2,472.78
  6. Step 6: Final answer
    x = 1,244.03

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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.