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Finding the Fourth Proportional to 21,951.28, 32,906.74 and 7,907.87

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Solution

The fourth proportional to 21,951.28, 32,906.74 and 7,907.87 is: 11,854.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,951.28 : 32,906.74 = 7,907.87 : x
  2. Step 2: Convert to fraction form
    21,951.28/32,906.74 = 7,907.87/x
  3. Step 3: Cross multiply
    21,951.28x = 32,906.74 × 7,907.87
  4. Step 4: Simplify right side
    21,951.28x = 260,222,269.71
  5. Step 5: Solve for x
    x = 260,222,269.71/21,951.28
  6. Step 6: Final answer
    x = 11,854.54

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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.