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Finding the Fourth Proportional to 7,086.96, 9,779.40 and 3,943.44

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Solution

The fourth proportional to 7,086.96, 9,779.40 and 3,943.44 is: 5,441.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.96 : 9,779.40 = 3,943.44 : x
  2. Step 2: Convert to fraction form
    7,086.96/9,779.40 = 3,943.44/x
  3. Step 3: Cross multiply
    7,086.96x = 9,779.40 × 3,943.44
  4. Step 4: Simplify right side
    7,086.96x = 38,564,477.14
  5. Step 5: Solve for x
    x = 38,564,477.14/7,086.96
  6. Step 6: Final answer
    x = 5,441.61

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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.