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Finding the Fourth Proportional to 30,279.94, 45,414.50 and 9,214.87

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Solution

The fourth proportional to 30,279.94, 45,414.50 and 9,214.87 is: 13,820.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,279.94 : 45,414.50 = 9,214.87 : x
  2. Step 2: Convert to fraction form
    30,279.94/45,414.50 = 9,214.87/x
  3. Step 3: Cross multiply
    30,279.94x = 45,414.50 × 9,214.87
  4. Step 4: Simplify right side
    30,279.94x = 418,488,713.62
  5. Step 5: Solve for x
    x = 418,488,713.62/30,279.94
  6. Step 6: Final answer
    x = 13,820.66

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1.5x scale

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.