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Finding the Fourth Proportional to 18,220, 27,329.52 and 5,071.84

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Solution

The fourth proportional to 18,220, 27,329.52 and 5,071.84 is: 7,607.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,220 : 27,329.52 = 5,071.84 : x
  2. Step 2: Convert to fraction form
    18,220/27,329.52 = 5,071.84/x
  3. Step 3: Cross multiply
    18,220x = 27,329.52 × 5,071.84
  4. Step 4: Simplify right side
    18,220x = 138,610,952.72
  5. Step 5: Solve for x
    x = 138,610,952.72/18,220
  6. Step 6: Final answer
    x = 7,607.63

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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.