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Finding the Fourth Proportional to 7,776.71, 11,669.90 and 3,159.71

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Solution

The fourth proportional to 7,776.71, 11,669.90 and 3,159.71 is: 4,741.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.71 : 11,669.90 = 3,159.71 : x
  2. Step 2: Convert to fraction form
    7,776.71/11,669.90 = 3,159.71/x
  3. Step 3: Cross multiply
    7,776.71x = 11,669.90 × 3,159.71
  4. Step 4: Simplify right side
    7,776.71x = 36,873,470.55
  5. Step 5: Solve for x
    x = 36,873,470.55/7,776.71
  6. Step 6: Final answer
    x = 4,741.53

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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.