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Finding the Fourth Proportional to 7,259.86, 10,865.49 and 6,381.82

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Solution

The fourth proportional to 7,259.86, 10,865.49 and 6,381.82 is: 9,551.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,259.86 : 10,865.49 = 6,381.82 : x
  2. Step 2: Convert to fraction form
    7,259.86/10,865.49 = 6,381.82/x
  3. Step 3: Cross multiply
    7,259.86x = 10,865.49 × 6,381.82
  4. Step 4: Simplify right side
    7,259.86x = 69,341,601.39
  5. Step 5: Solve for x
    x = 69,341,601.39/7,259.86
  6. Step 6: Final answer
    x = 9,551.37

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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.