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Finding the Fourth Proportional to 3,952.49, 5,929.32 and 1,319.14

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Solution

The fourth proportional to 3,952.49, 5,929.32 and 1,319.14 is: 1,978.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.49 : 5,929.32 = 1,319.14 : x
  2. Step 2: Convert to fraction form
    3,952.49/5,929.32 = 1,319.14/x
  3. Step 3: Cross multiply
    3,952.49x = 5,929.32 × 1,319.14
  4. Step 4: Simplify right side
    3,952.49x = 7,821,603.18
  5. Step 5: Solve for x
    x = 7,821,603.18/3,952.49
  6. Step 6: Final answer
    x = 1,978.91

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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.