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Finding the Fourth Proportional to 6,638.48, 9,956.64 and 2,255.84

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Solution

The fourth proportional to 6,638.48, 9,956.64 and 2,255.84 is: 3,383.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,638.48 : 9,956.64 = 2,255.84 : x
  2. Step 2: Convert to fraction form
    6,638.48/9,956.64 = 2,255.84/x
  3. Step 3: Cross multiply
    6,638.48x = 9,956.64 × 2,255.84
  4. Step 4: Simplify right side
    6,638.48x = 22,460,586.78
  5. Step 5: Solve for x
    x = 22,460,586.78/6,638.48
  6. Step 6: Final answer
    x = 3,383.39

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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.