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Finding the Fourth Proportional to 3,283.16, 4,922.18 and 1,638.88

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Solution

The fourth proportional to 3,283.16, 4,922.18 and 1,638.88 is: 2,457.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.16 : 4,922.18 = 1,638.88 : x
  2. Step 2: Convert to fraction form
    3,283.16/4,922.18 = 1,638.88/x
  3. Step 3: Cross multiply
    3,283.16x = 4,922.18 × 1,638.88
  4. Step 4: Simplify right side
    3,283.16x = 8,066,862.36
  5. Step 5: Solve for x
    x = 8,066,862.36/3,283.16
  6. Step 6: Final answer
    x = 2,457.04

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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.