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Finding the Fourth Proportional to 15,109.86, 20,849.86 and 8,822.82

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Solution

The fourth proportional to 15,109.86, 20,849.86 and 8,822.82 is: 12,174.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,109.86 : 20,849.86 = 8,822.82 : x
  2. Step 2: Convert to fraction form
    15,109.86/20,849.86 = 8,822.82/x
  3. Step 3: Cross multiply
    15,109.86x = 20,849.86 × 8,822.82
  4. Step 4: Simplify right side
    15,109.86x = 183,954,561.81
  5. Step 5: Solve for x
    x = 183,954,561.81/15,109.86
  6. Step 6: Final answer
    x = 12,174.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.