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Finding the Fourth Proportional to 19,683.81, 27,163.65 and 10,731.32

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Solution

The fourth proportional to 19,683.81, 27,163.65 and 10,731.32 is: 14,809.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,683.81 : 27,163.65 = 10,731.32 : x
  2. Step 2: Convert to fraction form
    19,683.81/27,163.65 = 10,731.32/x
  3. Step 3: Cross multiply
    19,683.81x = 27,163.65 × 10,731.32
  4. Step 4: Simplify right side
    19,683.81x = 291,501,674.87
  5. Step 5: Solve for x
    x = 291,501,674.87/19,683.81
  6. Step 6: Final answer
    x = 14,809.21

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Why These Related Problems?

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