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Finding the Fourth Proportional to 18,114.78, 27,171.90 and 4,967.40

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Solution

The fourth proportional to 18,114.78, 27,171.90 and 4,967.40 is: 7,451.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,114.78 : 27,171.90 = 4,967.40 : x
  2. Step 2: Convert to fraction form
    18,114.78/27,171.90 = 4,967.40/x
  3. Step 3: Cross multiply
    18,114.78x = 27,171.90 × 4,967.40
  4. Step 4: Simplify right side
    18,114.78x = 134,973,696.06
  5. Step 5: Solve for x
    x = 134,973,696.06/18,114.78
  6. Step 6: Final answer
    x = 7,451.03

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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.