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Finding the Fourth Proportional to 13,713.47, 20,558.04 and 6,689.55

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Solution

The fourth proportional to 13,713.47, 20,558.04 and 6,689.55 is: 10,028.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713.47 : 20,558.04 = 6,689.55 : x
  2. Step 2: Convert to fraction form
    13,713.47/20,558.04 = 6,689.55/x
  3. Step 3: Cross multiply
    13,713.47x = 20,558.04 × 6,689.55
  4. Step 4: Simplify right side
    13,713.47x = 137,524,036.48
  5. Step 5: Solve for x
    x = 137,524,036.48/13,713.47
  6. Step 6: Final answer
    x = 10,028.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.