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Finding the Fourth Proportional to 7,622, 10,505.40 and 6,291.44

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Solution

The fourth proportional to 7,622, 10,505.40 and 6,291.44 is: 8,671.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,622 : 10,505.40 = 6,291.44 : x
  2. Step 2: Convert to fraction form
    7,622/10,505.40 = 6,291.44/x
  3. Step 3: Cross multiply
    7,622x = 10,505.40 × 6,291.44
  4. Step 4: Simplify right side
    7,622x = 66,094,093.78
  5. Step 5: Solve for x
    x = 66,094,093.78/7,622
  6. Step 6: Final answer
    x = 8,671.49

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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.