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Finding the Fourth Proportional to 2,936.86, 4,405.29 and 990.43

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Solution

The fourth proportional to 2,936.86, 4,405.29 and 990.43 is: 1,485.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,936.86 : 4,405.29 = 990.43 : x
  2. Step 2: Convert to fraction form
    2,936.86/4,405.29 = 990.43/x
  3. Step 3: Cross multiply
    2,936.86x = 4,405.29 × 990.43
  4. Step 4: Simplify right side
    2,936.86x = 4,363,109.35
  5. Step 5: Solve for x
    x = 4,363,109.35/2,936.86
  6. Step 6: Final answer
    x = 1,485.64

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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.