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Finding the Fourth Proportional to 15,305.91, 22,965.89 and 9,078.27

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Solution

The fourth proportional to 15,305.91, 22,965.89 and 9,078.27 is: 13,621.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,305.91 : 22,965.89 = 9,078.27 : x
  2. Step 2: Convert to fraction form
    15,305.91/22,965.89 = 9,078.27/x
  3. Step 3: Cross multiply
    15,305.91x = 22,965.89 × 9,078.27
  4. Step 4: Simplify right side
    15,305.91x = 208,490,504.82
  5. Step 5: Solve for x
    x = 208,490,504.82/15,305.91
  6. Step 6: Final answer
    x = 13,621.57

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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.