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Finding the Fourth Proportional to 12,775.76, 19,166.52 and 3,891.88

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Solution

The fourth proportional to 12,775.76, 19,166.52 and 3,891.88 is: 5,838.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,775.76 : 19,166.52 = 3,891.88 : x
  2. Step 2: Convert to fraction form
    12,775.76/19,166.52 = 3,891.88/x
  3. Step 3: Cross multiply
    12,775.76x = 19,166.52 × 3,891.88
  4. Step 4: Simplify right side
    12,775.76x = 74,593,795.86
  5. Step 5: Solve for x
    x = 74,593,795.86/12,775.76
  6. Step 6: Final answer
    x = 5,838.70

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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.