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Finding the Fourth Proportional to 20,284, 30,429.84 and 9,340

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Solution

The fourth proportional to 20,284, 30,429.84 and 9,340 is: 14,011.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,284 : 30,429.84 = 9,340 : x
  2. Step 2: Convert to fraction form
    20,284/30,429.84 = 9,340/x
  3. Step 3: Cross multiply
    20,284x = 30,429.84 × 9,340
  4. Step 4: Simplify right side
    20,284x = 284,214,705.60
  5. Step 5: Solve for x
    x = 284,214,705.60/20,284
  6. Step 6: Final answer
    x = 14,011.77

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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.