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Finding the Fourth Proportional to 30,162.48, 45,243.82 and 12,620

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Solution

The fourth proportional to 30,162.48, 45,243.82 and 12,620 is: 18,930.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,162.48 : 45,243.82 = 12,620 : x
  2. Step 2: Convert to fraction form
    30,162.48/45,243.82 = 12,620/x
  3. Step 3: Cross multiply
    30,162.48x = 45,243.82 × 12,620
  4. Step 4: Simplify right side
    30,162.48x = 570,977,008.40
  5. Step 5: Solve for x
    x = 570,977,008.40/30,162.48
  6. Step 6: Final answer
    x = 18,930.04

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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.