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Finding the Fourth Proportional to 1,763.64, 2,640.30 and 1,648.22

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Solution

The fourth proportional to 1,763.64, 2,640.30 and 1,648.22 is: 2,467.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.64 : 2,640.30 = 1,648.22 : x
  2. Step 2: Convert to fraction form
    1,763.64/2,640.30 = 1,648.22/x
  3. Step 3: Cross multiply
    1,763.64x = 2,640.30 × 1,648.22
  4. Step 4: Simplify right side
    1,763.64x = 4,351,775.88
  5. Step 5: Solve for x
    x = 4,351,775.88/1,763.64
  6. Step 6: Final answer
    x = 2,467.50

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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.