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Finding the Fourth Proportional to 15,203.86, 22,774 and 12,226.20

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Solution

The fourth proportional to 15,203.86, 22,774 and 12,226.20 is: 18,313.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,203.86 : 22,774 = 12,226.20 : x
  2. Step 2: Convert to fraction form
    15,203.86/22,774 = 12,226.20/x
  3. Step 3: Cross multiply
    15,203.86x = 22,774 × 12,226.20
  4. Step 4: Simplify right side
    15,203.86x = 278,439,478.80
  5. Step 5: Solve for x
    x = 278,439,478.80/15,203.86
  6. Step 6: Final answer
    x = 18,313.74

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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.