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Finding the Fourth Proportional to 13,776.27, 20,646.96 and 6,754.62

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Solution

The fourth proportional to 13,776.27, 20,646.96 and 6,754.62 is: 10,123.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,776.27 : 20,646.96 = 6,754.62 : x
  2. Step 2: Convert to fraction form
    13,776.27/20,646.96 = 6,754.62/x
  3. Step 3: Cross multiply
    13,776.27x = 20,646.96 × 6,754.62
  4. Step 4: Simplify right side
    13,776.27x = 139,462,368.96
  5. Step 5: Solve for x
    x = 139,462,368.96/13,776.27
  6. Step 6: Final answer
    x = 10,123.38

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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.