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Finding the Fourth Proportional to 2,472.75, 3,709.14 and 829.29

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Solution

The fourth proportional to 2,472.75, 3,709.14 and 829.29 is: 1,243.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.75 : 3,709.14 = 829.29 : x
  2. Step 2: Convert to fraction form
    2,472.75/3,709.14 = 829.29/x
  3. Step 3: Cross multiply
    2,472.75x = 3,709.14 × 829.29
  4. Step 4: Simplify right side
    2,472.75x = 3,075,952.71
  5. Step 5: Solve for x
    x = 3,075,952.71/2,472.75
  6. Step 6: Final answer
    x = 1,243.94

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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.