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Finding the Fourth Proportional to 8,505.79, 12,759.20 and 2,265.77

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Solution

The fourth proportional to 8,505.79, 12,759.20 and 2,265.77 is: 3,398.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,505.79 : 12,759.20 = 2,265.77 : x
  2. Step 2: Convert to fraction form
    8,505.79/12,759.20 = 2,265.77/x
  3. Step 3: Cross multiply
    8,505.79x = 12,759.20 × 2,265.77
  4. Step 4: Simplify right side
    8,505.79x = 28,909,433.15
  5. Step 5: Solve for x
    x = 28,909,433.15/8,505.79
  6. Step 6: Final answer
    x = 3,398.80

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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.