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Finding the Fourth Proportional to 9,978.67, 13,776.99 and 6,206.97

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Solution

The fourth proportional to 9,978.67, 13,776.99 and 6,206.97 is: 8,569.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,978.67 : 13,776.99 = 6,206.97 : x
  2. Step 2: Convert to fraction form
    9,978.67/13,776.99 = 6,206.97/x
  3. Step 3: Cross multiply
    9,978.67x = 13,776.99 × 6,206.97
  4. Step 4: Simplify right side
    9,978.67x = 85,513,353.26
  5. Step 5: Solve for x
    x = 85,513,353.26/9,978.67
  6. Step 6: Final answer
    x = 8,569.61

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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.