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Finding the Fourth Proportional to 9,879.84, 13,628.25 and 6,522.66

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Solution

The fourth proportional to 9,879.84, 13,628.25 and 6,522.66 is: 8,997.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,879.84 : 13,628.25 = 6,522.66 : x
  2. Step 2: Convert to fraction form
    9,879.84/13,628.25 = 6,522.66/x
  3. Step 3: Cross multiply
    9,879.84x = 13,628.25 × 6,522.66
  4. Step 4: Simplify right side
    9,879.84x = 88,892,441.15
  5. Step 5: Solve for x
    x = 88,892,441.15/9,879.84
  6. Step 6: Final answer
    x = 8,997.36

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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.