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Finding the Fourth Proportional to 3,912.68, 5,869.36 and 990.98

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Solution

The fourth proportional to 3,912.68, 5,869.36 and 990.98 is: 1,486.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.68 : 5,869.36 = 990.98 : x
  2. Step 2: Convert to fraction form
    3,912.68/5,869.36 = 990.98/x
  3. Step 3: Cross multiply
    3,912.68x = 5,869.36 × 990.98
  4. Step 4: Simplify right side
    3,912.68x = 5,816,445.29
  5. Step 5: Solve for x
    x = 5,816,445.29/3,912.68
  6. Step 6: Final answer
    x = 1,486.56

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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.