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Finding the Fourth Proportional to 30,813.86, 46,217.22 and 8,629.01

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Solution

The fourth proportional to 30,813.86, 46,217.22 and 8,629.01 is: 12,942.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,813.86 : 46,217.22 = 8,629.01 : x
  2. Step 2: Convert to fraction form
    30,813.86/46,217.22 = 8,629.01/x
  3. Step 3: Cross multiply
    30,813.86x = 46,217.22 × 8,629.01
  4. Step 4: Simplify right side
    30,813.86x = 398,808,853.55
  5. Step 5: Solve for x
    x = 398,808,853.55/30,813.86
  6. Step 6: Final answer
    x = 12,942.52

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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.