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Finding the Fourth Proportional to 18,643.80, 27,970.08 and 6,163.82

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Solution

The fourth proportional to 18,643.80, 27,970.08 and 6,163.82 is: 9,247.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,643.80 : 27,970.08 = 6,163.82 : x
  2. Step 2: Convert to fraction form
    18,643.80/27,970.08 = 6,163.82/x
  3. Step 3: Cross multiply
    18,643.80x = 27,970.08 × 6,163.82
  4. Step 4: Simplify right side
    18,643.80x = 172,402,593.02
  5. Step 5: Solve for x
    x = 172,402,593.02/18,643.80
  6. Step 6: Final answer
    x = 9,247.18

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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.