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Finding the Fourth Proportional to 1,768.71, 2,640.12 and 1,640.21

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Solution

The fourth proportional to 1,768.71, 2,640.12 and 1,640.21 is: 2,448.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.71 : 2,640.12 = 1,640.21 : x
  2. Step 2: Convert to fraction form
    1,768.71/2,640.12 = 1,640.21/x
  3. Step 3: Cross multiply
    1,768.71x = 2,640.12 × 1,640.21
  4. Step 4: Simplify right side
    1,768.71x = 4,330,351.23
  5. Step 5: Solve for x
    x = 4,330,351.23/1,768.71
  6. Step 6: Final answer
    x = 2,448.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.