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Finding the Fourth Proportional to 7,755.91, 11,636.31 and 2,565.43

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Solution

The fourth proportional to 7,755.91, 11,636.31 and 2,565.43 is: 3,848.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,755.91 : 11,636.31 = 2,565.43 : x
  2. Step 2: Convert to fraction form
    7,755.91/11,636.31 = 2,565.43/x
  3. Step 3: Cross multiply
    7,755.91x = 11,636.31 × 2,565.43
  4. Step 4: Simplify right side
    7,755.91x = 29,852,138.76
  5. Step 5: Solve for x
    x = 29,852,138.76/7,755.91
  6. Step 6: Final answer
    x = 3,848.95

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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.