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Finding the Fourth Proportional to 30,992.43, 46,489.86 and 8,807.75

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Solution

The fourth proportional to 30,992.43, 46,489.86 and 8,807.75 is: 13,211.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,992.43 : 46,489.86 = 8,807.75 : x
  2. Step 2: Convert to fraction form
    30,992.43/46,489.86 = 8,807.75/x
  3. Step 3: Cross multiply
    30,992.43x = 46,489.86 × 8,807.75
  4. Step 4: Simplify right side
    30,992.43x = 409,470,831.97
  5. Step 5: Solve for x
    x = 409,470,831.97/30,992.43
  6. Step 6: Final answer
    x = 13,211.96

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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.