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Finding the Fourth Proportional to 8,622, 11,897.80 and 5,084.40

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Solution

The fourth proportional to 8,622, 11,897.80 and 5,084.40 is: 7,016.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,622 : 11,897.80 = 5,084.40 : x
  2. Step 2: Convert to fraction form
    8,622/11,897.80 = 5,084.40/x
  3. Step 3: Cross multiply
    8,622x = 11,897.80 × 5,084.40
  4. Step 4: Simplify right side
    8,622x = 60,493,174.32
  5. Step 5: Solve for x
    x = 60,493,174.32/8,622
  6. Step 6: Final answer
    x = 7,016.14

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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.