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Finding the Fourth Proportional to 1,372.02, 1,889.02 and 1,197.30

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Solution

The fourth proportional to 1,372.02, 1,889.02 and 1,197.30 is: 1,648.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.02 : 1,889.02 = 1,197.30 : x
  2. Step 2: Convert to fraction form
    1,372.02/1,889.02 = 1,197.30/x
  3. Step 3: Cross multiply
    1,372.02x = 1,889.02 × 1,197.30
  4. Step 4: Simplify right side
    1,372.02x = 2,261,723.65
  5. Step 5: Solve for x
    x = 2,261,723.65/1,372.02
  6. Step 6: Final answer
    x = 1,648.46

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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.