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Finding the Fourth Proportional to 15,221.25, 22,831.92 and 5,987.25

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Solution

The fourth proportional to 15,221.25, 22,831.92 and 5,987.25 is: 8,980.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,221.25 : 22,831.92 = 5,987.25 : x
  2. Step 2: Convert to fraction form
    15,221.25/22,831.92 = 5,987.25/x
  3. Step 3: Cross multiply
    15,221.25x = 22,831.92 × 5,987.25
  4. Step 4: Simplify right side
    15,221.25x = 136,700,413.02
  5. Step 5: Solve for x
    x = 136,700,413.02/15,221.25
  6. Step 6: Final answer
    x = 8,980.89

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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.