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Finding the Fourth Proportional to 7,800.17, 11,695.19 and 3,634.47

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Solution

The fourth proportional to 7,800.17, 11,695.19 and 3,634.47 is: 5,449.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.17 : 11,695.19 = 3,634.47 : x
  2. Step 2: Convert to fraction form
    7,800.17/11,695.19 = 3,634.47/x
  3. Step 3: Cross multiply
    7,800.17x = 11,695.19 × 3,634.47
  4. Step 4: Simplify right side
    7,800.17x = 42,505,799.03
  5. Step 5: Solve for x
    x = 42,505,799.03/7,800.17
  6. Step 6: Final answer
    x = 5,449.35

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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.