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Finding the Fourth Proportional to 22,071.08, 33,105.54 and 8,219

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Solution

The fourth proportional to 22,071.08, 33,105.54 and 8,219 is: 12,328.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,071.08 : 33,105.54 = 8,219 : x
  2. Step 2: Convert to fraction form
    22,071.08/33,105.54 = 8,219/x
  3. Step 3: Cross multiply
    22,071.08x = 33,105.54 × 8,219
  4. Step 4: Simplify right side
    22,071.08x = 272,094,433.26
  5. Step 5: Solve for x
    x = 272,094,433.26/22,071.08
  6. Step 6: Final answer
    x = 12,328.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.