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Finding the Fourth Proportional to 18,978.89, 28,468.38 and 5,831.24

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Solution

The fourth proportional to 18,978.89, 28,468.38 and 5,831.24 is: 8,746.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,978.89 : 28,468.38 = 5,831.24 : x
  2. Step 2: Convert to fraction form
    18,978.89/28,468.38 = 5,831.24/x
  3. Step 3: Cross multiply
    18,978.89x = 28,468.38 × 5,831.24
  4. Step 4: Simplify right side
    18,978.89x = 166,005,813.85
  5. Step 5: Solve for x
    x = 166,005,813.85/18,978.89
  6. Step 6: Final answer
    x = 8,746.87

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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.