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Finding the Fourth Proportional to 30,194.38, 45,292.59 and 8,010

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Solution

The fourth proportional to 30,194.38, 45,292.59 and 8,010 is: 12,015.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,194.38 : 45,292.59 = 8,010 : x
  2. Step 2: Convert to fraction form
    30,194.38/45,292.59 = 8,010/x
  3. Step 3: Cross multiply
    30,194.38x = 45,292.59 × 8,010
  4. Step 4: Simplify right side
    30,194.38x = 362,793,645.90
  5. Step 5: Solve for x
    x = 362,793,645.90/30,194.38
  6. Step 6: Final answer
    x = 12,015.27

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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.