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Finding the Fourth Proportional to 30,666.52, 45,978.26 and 11,930.77

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Solution

The fourth proportional to 30,666.52, 45,978.26 and 11,930.77 is: 17,887.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,666.52 : 45,978.26 = 11,930.77 : x
  2. Step 2: Convert to fraction form
    30,666.52/45,978.26 = 11,930.77/x
  3. Step 3: Cross multiply
    30,666.52x = 45,978.26 × 11,930.77
  4. Step 4: Simplify right side
    30,666.52x = 548,555,947.12
  5. Step 5: Solve for x
    x = 548,555,947.12/30,666.52
  6. Step 6: Final answer
    x = 17,887.78

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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.