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Finding the Fourth Proportional to 1,328.08, 1,995 and 1,123.06

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Solution

The fourth proportional to 1,328.08, 1,995 and 1,123.06 is: 1,687.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.08 : 1,995 = 1,123.06 : x
  2. Step 2: Convert to fraction form
    1,328.08/1,995 = 1,123.06/x
  3. Step 3: Cross multiply
    1,328.08x = 1,995 × 1,123.06
  4. Step 4: Simplify right side
    1,328.08x = 2,240,504.70
  5. Step 5: Solve for x
    x = 2,240,504.70/1,328.08
  6. Step 6: Final answer
    x = 1,687.03

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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.