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Finding the Fourth Proportional to 6,989, 9,644.91 and 3,845.12

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Solution

The fourth proportional to 6,989, 9,644.91 and 3,845.12 is: 5,306.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,989 : 9,644.91 = 3,845.12 : x
  2. Step 2: Convert to fraction form
    6,989/9,644.91 = 3,845.12/x
  3. Step 3: Cross multiply
    6,989x = 9,644.91 × 3,845.12
  4. Step 4: Simplify right side
    6,989x = 37,085,836.34
  5. Step 5: Solve for x
    x = 37,085,836.34/6,989
  6. Step 6: Final answer
    x = 5,306.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.