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Finding the Fourth Proportional to 30,465.15, 45,698.66 and 8,279

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Solution

The fourth proportional to 30,465.15, 45,698.66 and 8,279 is: 12,418.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,465.15 : 45,698.66 = 8,279 : x
  2. Step 2: Convert to fraction form
    30,465.15/45,698.66 = 8,279/x
  3. Step 3: Cross multiply
    30,465.15x = 45,698.66 × 8,279
  4. Step 4: Simplify right side
    30,465.15x = 378,339,206.14
  5. Step 5: Solve for x
    x = 378,339,206.14/30,465.15
  6. Step 6: Final answer
    x = 12,418.75

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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.