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Finding the Fourth Proportional to 13,893.63, 20,842.61 and 4,531.47

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Solution

The fourth proportional to 13,893.63, 20,842.61 and 4,531.47 is: 6,797.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,893.63 : 20,842.61 = 4,531.47 : x
  2. Step 2: Convert to fraction form
    13,893.63/20,842.61 = 4,531.47/x
  3. Step 3: Cross multiply
    13,893.63x = 20,842.61 × 4,531.47
  4. Step 4: Simplify right side
    13,893.63x = 94,447,661.94
  5. Step 5: Solve for x
    x = 94,447,661.94/13,893.63
  6. Step 6: Final answer
    x = 6,797.91

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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.