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Finding the Fourth Proportional to 19,878.64, 29,831.64 and 8,191.84

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Solution

The fourth proportional to 19,878.64, 29,831.64 and 8,191.84 is: 12,293.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,878.64 : 29,831.64 = 8,191.84 : x
  2. Step 2: Convert to fraction form
    19,878.64/29,831.64 = 8,191.84/x
  3. Step 3: Cross multiply
    19,878.64x = 29,831.64 × 8,191.84
  4. Step 4: Simplify right side
    19,878.64x = 244,376,021.82
  5. Step 5: Solve for x
    x = 244,376,021.82/19,878.64
  6. Step 6: Final answer
    x = 12,293.40

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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.