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Finding the Fourth Proportional to 2,288, 3,154.20 and 1,626.37

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Solution

The fourth proportional to 2,288, 3,154.20 and 1,626.37 is: 2,242.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288 : 3,154.20 = 1,626.37 : x
  2. Step 2: Convert to fraction form
    2,288/3,154.20 = 1,626.37/x
  3. Step 3: Cross multiply
    2,288x = 3,154.20 × 1,626.37
  4. Step 4: Simplify right side
    2,288x = 5,129,880.48
  5. Step 5: Solve for x
    x = 5,129,880.48/2,288
  6. Step 6: Final answer
    x = 2,242.08

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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.