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Finding the Fourth Proportional to 7,771.86, 11,657.31 and 3,154.74

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Solution

The fourth proportional to 7,771.86, 11,657.31 and 3,154.74 is: 4,731.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.86 : 11,657.31 = 3,154.74 : x
  2. Step 2: Convert to fraction form
    7,771.86/11,657.31 = 3,154.74/x
  3. Step 3: Cross multiply
    7,771.86x = 11,657.31 × 3,154.74
  4. Step 4: Simplify right side
    7,771.86x = 36,775,782.15
  5. Step 5: Solve for x
    x = 36,775,782.15/7,771.86
  6. Step 6: Final answer
    x = 4,731.92

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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.