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Finding the Fourth Proportional to 21,530, 32,293.80 and 6,737.18

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Solution

The fourth proportional to 21,530, 32,293.80 and 6,737.18 is: 10,105.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,530 : 32,293.80 = 6,737.18 : x
  2. Step 2: Convert to fraction form
    21,530/32,293.80 = 6,737.18/x
  3. Step 3: Cross multiply
    21,530x = 32,293.80 × 6,737.18
  4. Step 4: Simplify right side
    21,530x = 217,569,143.48
  5. Step 5: Solve for x
    x = 217,569,143.48/21,530
  6. Step 6: Final answer
    x = 10,105.39

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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.