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Finding the Fourth Proportional to 1,763.91, 2,640.20 and 1,695.87

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Solution

The fourth proportional to 1,763.91, 2,640.20 and 1,695.87 is: 2,538.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.91 : 2,640.20 = 1,695.87 : x
  2. Step 2: Convert to fraction form
    1,763.91/2,640.20 = 1,695.87/x
  3. Step 3: Cross multiply
    1,763.91x = 2,640.20 × 1,695.87
  4. Step 4: Simplify right side
    1,763.91x = 4,477,427.49
  5. Step 5: Solve for x
    x = 4,477,427.49/1,763.91
  6. Step 6: Final answer
    x = 2,538.35

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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.