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Finding the Fourth Proportional to 13,851, 20,778.53 and 4,487.87

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Solution

The fourth proportional to 13,851, 20,778.53 and 4,487.87 is: 6,732.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,851 : 20,778.53 = 4,487.87 : x
  2. Step 2: Convert to fraction form
    13,851/20,778.53 = 4,487.87/x
  3. Step 3: Cross multiply
    13,851x = 20,778.53 × 4,487.87
  4. Step 4: Simplify right side
    13,851x = 93,251,370.94
  5. Step 5: Solve for x
    x = 93,251,370.94/13,851
  6. Step 6: Final answer
    x = 6,732.46

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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.