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Finding the Fourth Proportional to 1,620.40, 2,238.72 and 1,540.48

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Solution

The fourth proportional to 1,620.40, 2,238.72 and 1,540.48 is: 2,128.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.40 : 2,238.72 = 1,540.48 : x
  2. Step 2: Convert to fraction form
    1,620.40/2,238.72 = 1,540.48/x
  3. Step 3: Cross multiply
    1,620.40x = 2,238.72 × 1,540.48
  4. Step 4: Simplify right side
    1,620.40x = 3,448,703.39
  5. Step 5: Solve for x
    x = 3,448,703.39/1,620.40
  6. Step 6: Final answer
    x = 2,128.30

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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.