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Finding the Fourth Proportional to 8,699.86, 13,043.71 and 2,774.78

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Solution

The fourth proportional to 8,699.86, 13,043.71 and 2,774.78 is: 4,160.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,699.86 : 13,043.71 = 2,774.78 : x
  2. Step 2: Convert to fraction form
    8,699.86/13,043.71 = 2,774.78/x
  3. Step 3: Cross multiply
    8,699.86x = 13,043.71 × 2,774.78
  4. Step 4: Simplify right side
    8,699.86x = 36,193,425.63
  5. Step 5: Solve for x
    x = 36,193,425.63/8,699.86
  6. Step 6: Final answer
    x = 4,160.23

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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.