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Finding the Fourth Proportional to 9,351.84, 12,889.17 and 8,321.25

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Solution

The fourth proportional to 9,351.84, 12,889.17 and 8,321.25 is: 11,468.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351.84 : 12,889.17 = 8,321.25 : x
  2. Step 2: Convert to fraction form
    9,351.84/12,889.17 = 8,321.25/x
  3. Step 3: Cross multiply
    9,351.84x = 12,889.17 × 8,321.25
  4. Step 4: Simplify right side
    9,351.84x = 107,254,005.86
  5. Step 5: Solve for x
    x = 107,254,005.86/9,351.84
  6. Step 6: Final answer
    x = 11,468.76

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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.