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Finding the Fourth Proportional to 7,710.86, 11,566.29 and 3,811.34

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Solution

The fourth proportional to 7,710.86, 11,566.29 and 3,811.34 is: 5,717.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.86 : 11,566.29 = 3,811.34 : x
  2. Step 2: Convert to fraction form
    7,710.86/11,566.29 = 3,811.34/x
  3. Step 3: Cross multiply
    7,710.86x = 11,566.29 × 3,811.34
  4. Step 4: Simplify right side
    7,710.86x = 44,083,063.73
  5. Step 5: Solve for x
    x = 44,083,063.73/7,710.86
  6. Step 6: Final answer
    x = 5,717.01

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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.