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Finding the Fourth Proportional to 8,505.86, 12,759.42 and 2,265.84

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Solution

The fourth proportional to 8,505.86, 12,759.42 and 2,265.84 is: 3,398.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,505.86 : 12,759.42 = 2,265.84 : x
  2. Step 2: Convert to fraction form
    8,505.86/12,759.42 = 2,265.84/x
  3. Step 3: Cross multiply
    8,505.86x = 12,759.42 × 2,265.84
  4. Step 4: Simplify right side
    8,505.86x = 28,910,812.71
  5. Step 5: Solve for x
    x = 28,910,812.71/8,505.86
  6. Step 6: Final answer
    x = 3,398.93

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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.