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Finding the Fourth Proportional to 3,952.26, 5,929.00 and 1,318.95

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Solution

The fourth proportional to 3,952.26, 5,929.00 and 1,318.95 is: 1,978.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.26 : 5,929.00 = 1,318.95 : x
  2. Step 2: Convert to fraction form
    3,952.26/5,929.00 = 1,318.95/x
  3. Step 3: Cross multiply
    3,952.26x = 5,929.00 × 1,318.95
  4. Step 4: Simplify right side
    3,952.26x = 7,820,051.25
  5. Step 5: Solve for x
    x = 7,820,051.25/3,952.26
  6. Step 6: Final answer
    x = 1,978.63

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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.