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Finding the Fourth Proportional to 13,891.86, 20,838.46 and 4,531.86

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Solution

The fourth proportional to 13,891.86, 20,838.46 and 4,531.86 is: 6,798.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,891.86 : 20,838.46 = 4,531.86 : x
  2. Step 2: Convert to fraction form
    13,891.86/20,838.46 = 4,531.86/x
  3. Step 3: Cross multiply
    13,891.86x = 20,838.46 × 4,531.86
  4. Step 4: Simplify right side
    13,891.86x = 94,436,856.48
  5. Step 5: Solve for x
    x = 94,436,856.48/13,891.86
  6. Step 6: Final answer
    x = 6,798.00

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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.