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Finding the Fourth Proportional to 3,602, 5,403 and 866

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Solution

The fourth proportional to 3,602, 5,403 and 866 is: 1,299

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602 : 5,403 = 866 : x
  2. Step 2: Convert to fraction form
    3,602/5,403 = 866/x
  3. Step 3: Cross multiply
    3,602x = 5,403 × 866
  4. Step 4: Simplify right side
    3,602x = 4,678,998
  5. Step 5: Solve for x
    x = 4,678,998/3,602
  6. Step 6: Final answer
    x = 1,299

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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.