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Finding the Fourth Proportional to 6,989.01, 9,644.85 and 3,845.40

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Solution

The fourth proportional to 6,989.01, 9,644.85 and 3,845.40 is: 5,306.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,989.01 : 9,644.85 = 3,845.40 : x
  2. Step 2: Convert to fraction form
    6,989.01/9,644.85 = 3,845.40/x
  3. Step 3: Cross multiply
    6,989.01x = 9,644.85 × 3,845.40
  4. Step 4: Simplify right side
    6,989.01x = 37,088,306.19
  5. Step 5: Solve for x
    x = 37,088,306.19/6,989.01
  6. Step 6: Final answer
    x = 5,306.66

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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.