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Finding the Fourth Proportional to 22,279.92, 33,426.48 and 8,430

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Solution

The fourth proportional to 22,279.92, 33,426.48 and 8,430 is: 12,647.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,279.92 : 33,426.48 = 8,430 : x
  2. Step 2: Convert to fraction form
    22,279.92/33,426.48 = 8,430/x
  3. Step 3: Cross multiply
    22,279.92x = 33,426.48 × 8,430
  4. Step 4: Simplify right side
    22,279.92x = 281,785,226.40
  5. Step 5: Solve for x
    x = 281,785,226.40/22,279.92
  6. Step 6: Final answer
    x = 12,647.50

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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.