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Finding the Fourth Proportional to 2,288.40, 3,425.40 and 1,640.40

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Solution

The fourth proportional to 2,288.40, 3,425.40 and 1,640.40 is: 2,455.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.40 : 3,425.40 = 1,640.40 : x
  2. Step 2: Convert to fraction form
    2,288.40/3,425.40 = 1,640.40/x
  3. Step 3: Cross multiply
    2,288.40x = 3,425.40 × 1,640.40
  4. Step 4: Simplify right side
    2,288.40x = 5,619,026.16
  5. Step 5: Solve for x
    x = 5,619,026.16/2,288.40
  6. Step 6: Final answer
    x = 2,455.44

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1.5x scale

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.