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Finding the Fourth Proportional to 1,737.82, 2,383.91 and 1,643.67

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Solution

The fourth proportional to 1,737.82, 2,383.91 and 1,643.67 is: 2,254.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.82 : 2,383.91 = 1,643.67 : x
  2. Step 2: Convert to fraction form
    1,737.82/2,383.91 = 1,643.67/x
  3. Step 3: Cross multiply
    1,737.82x = 2,383.91 × 1,643.67
  4. Step 4: Simplify right side
    1,737.82x = 3,918,361.35
  5. Step 5: Solve for x
    x = 3,918,361.35/1,737.82
  6. Step 6: Final answer
    x = 2,254.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.