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Finding the Fourth Proportional to 10,719.68, 14,791.38 and 6,737.98

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Solution

The fourth proportional to 10,719.68, 14,791.38 and 6,737.98 is: 9,297.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,719.68 : 14,791.38 = 6,737.98 : x
  2. Step 2: Convert to fraction form
    10,719.68/14,791.38 = 6,737.98/x
  3. Step 3: Cross multiply
    10,719.68x = 14,791.38 × 6,737.98
  4. Step 4: Simplify right side
    10,719.68x = 99,664,022.61
  5. Step 5: Solve for x
    x = 99,664,022.61/10,719.68
  6. Step 6: Final answer
    x = 9,297.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.