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Finding the Fourth Proportional to 3,174.71, 4,762.00 and 866.21

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Solution

The fourth proportional to 3,174.71, 4,762.00 and 866.21 is: 1,299.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.71 : 4,762.00 = 866.21 : x
  2. Step 2: Convert to fraction form
    3,174.71/4,762.00 = 866.21/x
  3. Step 3: Cross multiply
    3,174.71x = 4,762.00 × 866.21
  4. Step 4: Simplify right side
    3,174.71x = 4,124,869.29
  5. Step 5: Solve for x
    x = 4,124,869.29/3,174.71
  6. Step 6: Final answer
    x = 1,299.29

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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.