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Finding the Fourth Proportional to 3,779.92, 5,669.93 and 1,314.79

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Solution

The fourth proportional to 3,779.92, 5,669.93 and 1,314.79 is: 1,972.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.92 : 5,669.93 = 1,314.79 : x
  2. Step 2: Convert to fraction form
    3,779.92/5,669.93 = 1,314.79/x
  3. Step 3: Cross multiply
    3,779.92x = 5,669.93 × 1,314.79
  4. Step 4: Simplify right side
    3,779.92x = 7,454,767.26
  5. Step 5: Solve for x
    x = 7,454,767.26/3,779.92
  6. Step 6: Final answer
    x = 1,972.20

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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.