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Finding the Fourth Proportional to 13,677, 20,507.37 and 5,347.35

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Solution

The fourth proportional to 13,677, 20,507.37 and 5,347.35 is: 8,017.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,677 : 20,507.37 = 5,347.35 : x
  2. Step 2: Convert to fraction form
    13,677/20,507.37 = 5,347.35/x
  3. Step 3: Cross multiply
    13,677x = 20,507.37 × 5,347.35
  4. Step 4: Simplify right side
    13,677x = 109,660,084.97
  5. Step 5: Solve for x
    x = 109,660,084.97/13,677
  6. Step 6: Final answer
    x = 8,017.85

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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.