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Finding the Fourth Proportional to 1,638.92, 2,263.92 and 1,522.28

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Solution

The fourth proportional to 1,638.92, 2,263.92 and 1,522.28 is: 2,102.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.92 : 2,263.92 = 1,522.28 : x
  2. Step 2: Convert to fraction form
    1,638.92/2,263.92 = 1,522.28/x
  3. Step 3: Cross multiply
    1,638.92x = 2,263.92 × 1,522.28
  4. Step 4: Simplify right side
    1,638.92x = 3,446,320.14
  5. Step 5: Solve for x
    x = 3,446,320.14/1,638.92
  6. Step 6: Final answer
    x = 2,102.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.