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Finding the Fourth Proportional to 10,422.78, 15,620.61 and 7,948.50

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Solution

The fourth proportional to 10,422.78, 15,620.61 and 7,948.50 is: 11,912.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422.78 : 15,620.61 = 7,948.50 : x
  2. Step 2: Convert to fraction form
    10,422.78/15,620.61 = 7,948.50/x
  3. Step 3: Cross multiply
    10,422.78x = 15,620.61 × 7,948.50
  4. Step 4: Simplify right side
    10,422.78x = 124,160,418.59
  5. Step 5: Solve for x
    x = 124,160,418.59/10,422.78
  6. Step 6: Final answer
    x = 11,912.41

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