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Finding the Fourth Proportional to 5,638.42, 8,459.04 and 2,128.42

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Solution

The fourth proportional to 5,638.42, 8,459.04 and 2,128.42 is: 3,193.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.42 : 8,459.04 = 2,128.42 : x
  2. Step 2: Convert to fraction form
    5,638.42/8,459.04 = 2,128.42/x
  3. Step 3: Cross multiply
    5,638.42x = 8,459.04 × 2,128.42
  4. Step 4: Simplify right side
    5,638.42x = 18,004,389.92
  5. Step 5: Solve for x
    x = 18,004,389.92/5,638.42
  6. Step 6: Final answer
    x = 3,193.16

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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.