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Finding the Fourth Proportional to 10,228, 14,112.21 and 5,750.86

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Solution

The fourth proportional to 10,228, 14,112.21 and 5,750.86 is: 7,934.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,228 : 14,112.21 = 5,750.86 : x
  2. Step 2: Convert to fraction form
    10,228/14,112.21 = 5,750.86/x
  3. Step 3: Cross multiply
    10,228x = 14,112.21 × 5,750.86
  4. Step 4: Simplify right side
    10,228x = 81,157,344.00
  5. Step 5: Solve for x
    x = 81,157,344.00/10,228
  6. Step 6: Final answer
    x = 7,934.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.