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Finding the Fourth Proportional to 13,683.71, 20,531.71 and 7,106.30

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Solution

The fourth proportional to 13,683.71, 20,531.71 and 7,106.30 is: 10,662.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,683.71 : 20,531.71 = 7,106.30 : x
  2. Step 2: Convert to fraction form
    13,683.71/20,531.71 = 7,106.30/x
  3. Step 3: Cross multiply
    13,683.71x = 20,531.71 × 7,106.30
  4. Step 4: Simplify right side
    13,683.71x = 145,904,524.34
  5. Step 5: Solve for x
    x = 145,904,524.34/13,683.71
  6. Step 6: Final answer
    x = 10,662.65

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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.