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Finding the Fourth Proportional to 2,990.78, 4,485.48 and 1,141.22

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Solution

The fourth proportional to 2,990.78, 4,485.48 and 1,141.22 is: 1,711.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990.78 : 4,485.48 = 1,141.22 : x
  2. Step 2: Convert to fraction form
    2,990.78/4,485.48 = 1,141.22/x
  3. Step 3: Cross multiply
    2,990.78x = 4,485.48 × 1,141.22
  4. Step 4: Simplify right side
    2,990.78x = 5,118,919.49
  5. Step 5: Solve for x
    x = 5,118,919.49/2,990.78
  6. Step 6: Final answer
    x = 1,711.57

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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.