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Finding the Fourth Proportional to 13,911, 20,871.62 and 6,517.86

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Solution

The fourth proportional to 13,911, 20,871.62 and 6,517.86 is: 9,779.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,911 : 20,871.62 = 6,517.86 : x
  2. Step 2: Convert to fraction form
    13,911/20,871.62 = 6,517.86/x
  3. Step 3: Cross multiply
    13,911x = 20,871.62 × 6,517.86
  4. Step 4: Simplify right side
    13,911x = 136,038,297.13
  5. Step 5: Solve for x
    x = 136,038,297.13/13,911
  6. Step 6: Final answer
    x = 9,779.19

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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.