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Finding the Fourth Proportional to 18,978.90, 28,468.39 and 5,831.18

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Solution

The fourth proportional to 18,978.90, 28,468.39 and 5,831.18 is: 8,746.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,978.90 : 28,468.39 = 5,831.18 : x
  2. Step 2: Convert to fraction form
    18,978.90/28,468.39 = 5,831.18/x
  3. Step 3: Cross multiply
    18,978.90x = 28,468.39 × 5,831.18
  4. Step 4: Simplify right side
    18,978.90x = 166,004,306.40
  5. Step 5: Solve for x
    x = 166,004,306.40/18,978.90
  6. Step 6: Final answer
    x = 8,746.78

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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.