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Finding the Fourth Proportional to 9,622, 13,269.85 and 6,261.72

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Solution

The fourth proportional to 9,622, 13,269.85 and 6,261.72 is: 8,635.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,622 : 13,269.85 = 6,261.72 : x
  2. Step 2: Convert to fraction form
    9,622/13,269.85 = 6,261.72/x
  3. Step 3: Cross multiply
    9,622x = 13,269.85 × 6,261.72
  4. Step 4: Simplify right side
    9,622x = 83,092,085.14
  5. Step 5: Solve for x
    x = 83,092,085.14/9,622
  6. Step 6: Final answer
    x = 8,635.64

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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.