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Finding the Fourth Proportional to 28,930.30, 43,400.31 and 9,214.90

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Solution

The fourth proportional to 28,930.30, 43,400.31 and 9,214.90 is: 13,823.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,930.30 : 43,400.31 = 9,214.90 : x
  2. Step 2: Convert to fraction form
    28,930.30/43,400.31 = 9,214.90/x
  3. Step 3: Cross multiply
    28,930.30x = 43,400.31 × 9,214.90
  4. Step 4: Simplify right side
    28,930.30x = 399,929,373.56
  5. Step 5: Solve for x
    x = 399,929,373.56/28,930.30
  6. Step 6: Final answer
    x = 13,823.89

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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.