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Finding the Fourth Proportional to 30,808.05, 46,205 and 8,622.98

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Solution

The fourth proportional to 30,808.05, 46,205 and 8,622.98 is: 12,932.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,808.05 : 46,205 = 8,622.98 : x
  2. Step 2: Convert to fraction form
    30,808.05/46,205 = 8,622.98/x
  3. Step 3: Cross multiply
    30,808.05x = 46,205 × 8,622.98
  4. Step 4: Simplify right side
    30,808.05x = 398,424,790.90
  5. Step 5: Solve for x
    x = 398,424,790.90/30,808.05
  6. Step 6: Final answer
    x = 12,932.49

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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.