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Finding the Fourth Proportional to 13,683, 20,516.32 and 6,649.20

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Solution

The fourth proportional to 13,683, 20,516.32 and 6,649.20 is: 9,969.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,683 : 20,516.32 = 6,649.20 : x
  2. Step 2: Convert to fraction form
    13,683/20,516.32 = 6,649.20/x
  3. Step 3: Cross multiply
    13,683x = 20,516.32 × 6,649.20
  4. Step 4: Simplify right side
    13,683x = 136,417,114.94
  5. Step 5: Solve for x
    x = 136,417,114.94/13,683
  6. Step 6: Final answer
    x = 9,969.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.