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Finding the Fourth Proportional to 9,484, 13,081.08 and 8,222.80

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Solution

The fourth proportional to 9,484, 13,081.08 and 8,222.80 is: 11,341.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,484 : 13,081.08 = 8,222.80 : x
  2. Step 2: Convert to fraction form
    9,484/13,081.08 = 8,222.80/x
  3. Step 3: Cross multiply
    9,484x = 13,081.08 × 8,222.80
  4. Step 4: Simplify right side
    9,484x = 107,563,104.62
  5. Step 5: Solve for x
    x = 107,563,104.62/9,484
  6. Step 6: Final answer
    x = 11,341.53

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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.