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Finding the Fourth Proportional to 8,259.96, 12,370.89 and 4,965.81

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Solution

The fourth proportional to 8,259.96, 12,370.89 and 4,965.81 is: 7,437.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,259.96 : 12,370.89 = 4,965.81 : x
  2. Step 2: Convert to fraction form
    8,259.96/12,370.89 = 4,965.81/x
  3. Step 3: Cross multiply
    8,259.96x = 12,370.89 × 4,965.81
  4. Step 4: Simplify right side
    8,259.96x = 61,431,489.27
  5. Step 5: Solve for x
    x = 61,431,489.27/8,259.96
  6. Step 6: Final answer
    x = 7,437.26

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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.