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Finding the Fourth Proportional to 15,119, 20,864.22 and 8,831.42

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Solution

The fourth proportional to 15,119, 20,864.22 and 8,831.42 is: 12,187.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,119 : 20,864.22 = 8,831.42 : x
  2. Step 2: Convert to fraction form
    15,119/20,864.22 = 8,831.42/x
  3. Step 3: Cross multiply
    15,119x = 20,864.22 × 8,831.42
  4. Step 4: Simplify right side
    15,119x = 184,260,689.79
  5. Step 5: Solve for x
    x = 184,260,689.79/15,119
  6. Step 6: Final answer
    x = 12,187.36

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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.