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Finding the Fourth Proportional to 19,219.29, 28,831.95 and 5,179.87

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Solution

The fourth proportional to 19,219.29, 28,831.95 and 5,179.87 is: 7,770.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,219.29 : 28,831.95 = 5,179.87 : x
  2. Step 2: Convert to fraction form
    19,219.29/28,831.95 = 5,179.87/x
  3. Step 3: Cross multiply
    19,219.29x = 28,831.95 × 5,179.87
  4. Step 4: Simplify right side
    19,219.29x = 149,345,680.77
  5. Step 5: Solve for x
    x = 149,345,680.77/19,219.29
  6. Step 6: Final answer
    x = 7,770.61

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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.