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Finding the Fourth Proportional to 6,471.70, 9,709.67 and 2,089.19

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Solution

The fourth proportional to 6,471.70, 9,709.67 and 2,089.19 is: 3,134.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.70 : 9,709.67 = 2,089.19 : x
  2. Step 2: Convert to fraction form
    6,471.70/9,709.67 = 2,089.19/x
  3. Step 3: Cross multiply
    6,471.70x = 9,709.67 × 2,089.19
  4. Step 4: Simplify right side
    6,471.70x = 20,285,374.96
  5. Step 5: Solve for x
    x = 20,285,374.96/6,471.70
  6. Step 6: Final answer
    x = 3,134.48

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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.