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Finding the Fourth Proportional to 30,644.73, 45,965.85 and 8,457.54

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Solution

The fourth proportional to 30,644.73, 45,965.85 and 8,457.54 is: 12,685.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,644.73 : 45,965.85 = 8,457.54 : x
  2. Step 2: Convert to fraction form
    30,644.73/45,965.85 = 8,457.54/x
  3. Step 3: Cross multiply
    30,644.73x = 45,965.85 × 8,457.54
  4. Step 4: Simplify right side
    30,644.73x = 388,757,810.92
  5. Step 5: Solve for x
    x = 388,757,810.92/30,644.73
  6. Step 6: Final answer
    x = 12,685.96

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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.