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Finding the Fourth Proportional to 7,086.29, 9,779.54 and 3,942.27

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Solution

The fourth proportional to 7,086.29, 9,779.54 and 3,942.27 is: 5,440.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.29 : 9,779.54 = 3,942.27 : x
  2. Step 2: Convert to fraction form
    7,086.29/9,779.54 = 3,942.27/x
  3. Step 3: Cross multiply
    7,086.29x = 9,779.54 × 3,942.27
  4. Step 4: Simplify right side
    7,086.29x = 38,553,567.44
  5. Step 5: Solve for x
    x = 38,553,567.44/7,086.29
  6. Step 6: Final answer
    x = 5,440.59

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1.5x scale

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.