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Finding the Fourth Proportional to 2,964.70, 4,447.56 and 990.46

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Solution

The fourth proportional to 2,964.70, 4,447.56 and 990.46 is: 1,485.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.70 : 4,447.56 = 990.46 : x
  2. Step 2: Convert to fraction form
    2,964.70/4,447.56 = 990.46/x
  3. Step 3: Cross multiply
    2,964.70x = 4,447.56 × 990.46
  4. Step 4: Simplify right side
    2,964.70x = 4,405,130.28
  5. Step 5: Solve for x
    x = 4,405,130.28/2,964.70
  6. Step 6: Final answer
    x = 1,485.86

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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.