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Finding the Fourth Proportional to 21,903.70, 32,851.95 and 6,109.81

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Solution

The fourth proportional to 21,903.70, 32,851.95 and 6,109.81 is: 9,163.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,903.70 : 32,851.95 = 6,109.81 : x
  2. Step 2: Convert to fraction form
    21,903.70/32,851.95 = 6,109.81/x
  3. Step 3: Cross multiply
    21,903.70x = 32,851.95 × 6,109.81
  4. Step 4: Simplify right side
    21,903.70x = 200,719,172.63
  5. Step 5: Solve for x
    x = 200,719,172.63/21,903.70
  6. Step 6: Final answer
    x = 9,163.71

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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.