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Finding the Fourth Proportional to 2,969.43, 4,453.74 and 1,388.70

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Solution

The fourth proportional to 2,969.43, 4,453.74 and 1,388.70 is: 2,082.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.43 : 4,453.74 = 1,388.70 : x
  2. Step 2: Convert to fraction form
    2,969.43/4,453.74 = 1,388.70/x
  3. Step 3: Cross multiply
    2,969.43x = 4,453.74 × 1,388.70
  4. Step 4: Simplify right side
    2,969.43x = 6,184,908.74
  5. Step 5: Solve for x
    x = 6,184,908.74/2,969.43
  6. Step 6: Final answer
    x = 2,082.86

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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.