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Finding the Fourth Proportional to 7,770.87, 11,656.28 and 1,927.47

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Solution

The fourth proportional to 7,770.87, 11,656.28 and 1,927.47 is: 2,891.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.87 : 11,656.28 = 1,927.47 : x
  2. Step 2: Convert to fraction form
    7,770.87/11,656.28 = 1,927.47/x
  3. Step 3: Cross multiply
    7,770.87x = 11,656.28 × 1,927.47
  4. Step 4: Simplify right side
    7,770.87x = 22,467,178.54
  5. Step 5: Solve for x
    x = 22,467,178.54/7,770.87
  6. Step 6: Final answer
    x = 2,891.21

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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.