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Finding the Fourth Proportional to 18,122.56, 27,194 and 9,802.40

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Solution

The fourth proportional to 18,122.56, 27,194 and 9,802.40 is: 14,709.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,122.56 : 27,194 = 9,802.40 : x
  2. Step 2: Convert to fraction form
    18,122.56/27,194 = 9,802.40/x
  3. Step 3: Cross multiply
    18,122.56x = 27,194 × 9,802.40
  4. Step 4: Simplify right side
    18,122.56x = 266,566,465.60
  5. Step 5: Solve for x
    x = 266,566,465.60/18,122.56
  6. Step 6: Final answer
    x = 14,709.10

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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.