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Finding the Fourth Proportional to 13,860.59, 20,801.83 and 6,461.24

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Solution

The fourth proportional to 13,860.59, 20,801.83 and 6,461.24 is: 9,696.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,860.59 : 20,801.83 = 6,461.24 : x
  2. Step 2: Convert to fraction form
    13,860.59/20,801.83 = 6,461.24/x
  3. Step 3: Cross multiply
    13,860.59x = 20,801.83 × 6,461.24
  4. Step 4: Simplify right side
    13,860.59x = 134,405,651.92
  5. Step 5: Solve for x
    x = 134,405,651.92/13,860.59
  6. Step 6: Final answer
    x = 9,696.96

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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.