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Finding the Fourth Proportional to 30,449.67, 45,652.50 and 13,801.20

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Solution

The fourth proportional to 30,449.67, 45,652.50 and 13,801.20 is: 20,691.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,449.67 : 45,652.50 = 13,801.20 : x
  2. Step 2: Convert to fraction form
    30,449.67/45,652.50 = 13,801.20/x
  3. Step 3: Cross multiply
    30,449.67x = 45,652.50 × 13,801.20
  4. Step 4: Simplify right side
    30,449.67x = 630,059,283
  5. Step 5: Solve for x
    x = 630,059,283/30,449.67
  6. Step 6: Final answer
    x = 20,691.83

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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.