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Finding the Fourth Proportional to 30,781, 46,114.80 and 27,460.27

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Solution

The fourth proportional to 30,781, 46,114.80 and 27,460.27 is: 41,139.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,781 : 46,114.80 = 27,460.27 : x
  2. Step 2: Convert to fraction form
    30,781/46,114.80 = 27,460.27/x
  3. Step 3: Cross multiply
    30,781x = 46,114.80 × 27,460.27
  4. Step 4: Simplify right side
    30,781x = 1,266,324,859.00
  5. Step 5: Solve for x
    x = 1,266,324,859.00/30,781
  6. Step 6: Final answer
    x = 41,139.82

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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.