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Finding the Fourth Proportional to 30,280, 45,414.62 and 9,214.96

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Solution

The fourth proportional to 30,280, 45,414.62 and 9,214.96 is: 13,820.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,280 : 45,414.62 = 9,214.96 : x
  2. Step 2: Convert to fraction form
    30,280/45,414.62 = 9,214.96/x
  3. Step 3: Cross multiply
    30,280x = 45,414.62 × 9,214.96
  4. Step 4: Simplify right side
    30,280x = 418,493,906.72
  5. Step 5: Solve for x
    x = 418,493,906.72/30,280
  6. Step 6: Final answer
    x = 13,820.80

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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.