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Finding the Fourth Proportional to 9,855.73, 13,600.89 and 6,318.94

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Solution

The fourth proportional to 9,855.73, 13,600.89 and 6,318.94 is: 8,720.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855.73 : 13,600.89 = 6,318.94 : x
  2. Step 2: Convert to fraction form
    9,855.73/13,600.89 = 6,318.94/x
  3. Step 3: Cross multiply
    9,855.73x = 13,600.89 × 6,318.94
  4. Step 4: Simplify right side
    9,855.73x = 85,943,207.86
  5. Step 5: Solve for x
    x = 85,943,207.86/9,855.73
  6. Step 6: Final answer
    x = 8,720.13

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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.