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Finding the Fourth Proportional to 9,625, 14,435.43 and 5,619.71

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Solution

The fourth proportional to 9,625, 14,435.43 and 5,619.71 is: 8,428.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,625 : 14,435.43 = 5,619.71 : x
  2. Step 2: Convert to fraction form
    9,625/14,435.43 = 5,619.71/x
  3. Step 3: Cross multiply
    9,625x = 14,435.43 × 5,619.71
  4. Step 4: Simplify right side
    9,625x = 81,122,930.33
  5. Step 5: Solve for x
    x = 81,122,930.33/9,625
  6. Step 6: Final answer
    x = 8,428.36

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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.