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Finding the Fourth Proportional to 30,541.86, 45,810.61 and 9,481.39

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Solution

The fourth proportional to 30,541.86, 45,810.61 and 9,481.39 is: 14,221.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,541.86 : 45,810.61 = 9,481.39 : x
  2. Step 2: Convert to fraction form
    30,541.86/45,810.61 = 9,481.39/x
  3. Step 3: Cross multiply
    30,541.86x = 45,810.61 × 9,481.39
  4. Step 4: Simplify right side
    30,541.86x = 434,348,121.32
  5. Step 5: Solve for x
    x = 434,348,121.32/30,541.86
  6. Step 6: Final answer
    x = 14,221.40

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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.