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Finding the Fourth Proportional to 13,817.57, 20,710.12 and 6,406.43

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Solution

The fourth proportional to 13,817.57, 20,710.12 and 6,406.43 is: 9,602.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,817.57 : 20,710.12 = 6,406.43 : x
  2. Step 2: Convert to fraction form
    13,817.57/20,710.12 = 6,406.43/x
  3. Step 3: Cross multiply
    13,817.57x = 20,710.12 × 6,406.43
  4. Step 4: Simplify right side
    13,817.57x = 132,677,934.07
  5. Step 5: Solve for x
    x = 132,677,934.07/13,817.57
  6. Step 6: Final answer
    x = 9,602.12

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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.