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Finding the Fourth Proportional to 30,951.45, 46,426.64 and 7,578.09

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Solution

The fourth proportional to 30,951.45, 46,426.64 and 7,578.09 is: 11,367.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,951.45 : 46,426.64 = 7,578.09 : x
  2. Step 2: Convert to fraction form
    30,951.45/46,426.64 = 7,578.09/x
  3. Step 3: Cross multiply
    30,951.45x = 46,426.64 × 7,578.09
  4. Step 4: Simplify right side
    30,951.45x = 351,825,218.43
  5. Step 5: Solve for x
    x = 351,825,218.43/30,951.45
  6. Step 6: Final answer
    x = 11,367.00

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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.