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Finding the Fourth Proportional to 5,779.76, 7,979.92 and 3,894.14

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Solution

The fourth proportional to 5,779.76, 7,979.92 and 3,894.14 is: 5,376.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,779.76 : 7,979.92 = 3,894.14 : x
  2. Step 2: Convert to fraction form
    5,779.76/7,979.92 = 3,894.14/x
  3. Step 3: Cross multiply
    5,779.76x = 7,979.92 × 3,894.14
  4. Step 4: Simplify right side
    5,779.76x = 31,074,935.88
  5. Step 5: Solve for x
    x = 31,074,935.88/5,779.76
  6. Step 6: Final answer
    x = 5,376.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.