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Finding the Fourth Proportional to 15,114, 22,614 and 13,579.28

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Solution

The fourth proportional to 15,114, 22,614 and 13,579.28 is: 20,317.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,114 : 22,614 = 13,579.28 : x
  2. Step 2: Convert to fraction form
    15,114/22,614 = 13,579.28/x
  3. Step 3: Cross multiply
    15,114x = 22,614 × 13,579.28
  4. Step 4: Simplify right side
    15,114x = 307,081,837.92
  5. Step 5: Solve for x
    x = 307,081,837.92/15,114
  6. Step 6: Final answer
    x = 20,317.71

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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.