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Finding the Fourth Proportional to 1,969.87, 2,715.88 and 1,614.48

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Solution

The fourth proportional to 1,969.87, 2,715.88 and 1,614.48 is: 2,225.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.87 : 2,715.88 = 1,614.48 : x
  2. Step 2: Convert to fraction form
    1,969.87/2,715.88 = 1,614.48/x
  3. Step 3: Cross multiply
    1,969.87x = 2,715.88 × 1,614.48
  4. Step 4: Simplify right side
    1,969.87x = 4,384,738.03
  5. Step 5: Solve for x
    x = 4,384,738.03/1,969.87
  6. Step 6: Final answer
    x = 2,225.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.