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Finding the Fourth Proportional to 7,767.93, 11,656 and 3,385.73

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Solution

The fourth proportional to 7,767.93, 11,656 and 3,385.73 is: 5,080.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.93 : 11,656 = 3,385.73 : x
  2. Step 2: Convert to fraction form
    7,767.93/11,656 = 3,385.73/x
  3. Step 3: Cross multiply
    7,767.93x = 11,656 × 3,385.73
  4. Step 4: Simplify right side
    7,767.93x = 39,464,068.88
  5. Step 5: Solve for x
    x = 39,464,068.88/7,767.93
  6. Step 6: Final answer
    x = 5,080.38

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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.