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Finding the Fourth Proportional to 9,776.71, 13,469.07 and 7,997.95

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Solution

The fourth proportional to 9,776.71, 13,469.07 and 7,997.95 is: 11,018.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.71 : 13,469.07 = 7,997.95 : x
  2. Step 2: Convert to fraction form
    9,776.71/13,469.07 = 7,997.95/x
  3. Step 3: Cross multiply
    9,776.71x = 13,469.07 × 7,997.95
  4. Step 4: Simplify right side
    9,776.71x = 107,724,948.41
  5. Step 5: Solve for x
    x = 107,724,948.41/9,776.71
  6. Step 6: Final answer
    x = 11,018.53

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1.5x scale

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.