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Finding the Fourth Proportional to 3,954.65, 5,929.91 and 1,978.14

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Solution

The fourth proportional to 3,954.65, 5,929.91 and 1,978.14 is: 2,966.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.65 : 5,929.91 = 1,978.14 : x
  2. Step 2: Convert to fraction form
    3,954.65/5,929.91 = 1,978.14/x
  3. Step 3: Cross multiply
    3,954.65x = 5,929.91 × 1,978.14
  4. Step 4: Simplify right side
    3,954.65x = 11,730,182.28
  5. Step 5: Solve for x
    x = 11,730,182.28/3,954.65
  6. Step 6: Final answer
    x = 2,966.18

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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.