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Finding the Fourth Proportional to 18,362.25, 27,543.30 and 5,214.63

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Solution

The fourth proportional to 18,362.25, 27,543.30 and 5,214.63 is: 7,821.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,362.25 : 27,543.30 = 5,214.63 : x
  2. Step 2: Convert to fraction form
    18,362.25/27,543.30 = 5,214.63/x
  3. Step 3: Cross multiply
    18,362.25x = 27,543.30 × 5,214.63
  4. Step 4: Simplify right side
    18,362.25x = 143,628,118.48
  5. Step 5: Solve for x
    x = 143,628,118.48/18,362.25
  6. Step 6: Final answer
    x = 7,821.92

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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.