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Finding the Fourth Proportional to 3,489.01, 5,233.51 and 1,638.77

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Solution

The fourth proportional to 3,489.01, 5,233.51 and 1,638.77 is: 2,458.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.01 : 5,233.51 = 1,638.77 : x
  2. Step 2: Convert to fraction form
    3,489.01/5,233.51 = 1,638.77/x
  3. Step 3: Cross multiply
    3,489.01x = 5,233.51 × 1,638.77
  4. Step 4: Simplify right side
    3,489.01x = 8,576,495.06
  5. Step 5: Solve for x
    x = 8,576,495.06/3,489.01
  6. Step 6: Final answer
    x = 2,458.15

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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.