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Finding the Fourth Proportional to 6,638.42, 9,959.24 and 2,021.42

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Solution

The fourth proportional to 6,638.42, 9,959.24 and 2,021.42 is: 3,032.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,638.42 : 9,959.24 = 2,021.42 : x
  2. Step 2: Convert to fraction form
    6,638.42/9,959.24 = 2,021.42/x
  3. Step 3: Cross multiply
    6,638.42x = 9,959.24 × 2,021.42
  4. Step 4: Simplify right side
    6,638.42x = 20,131,762.18
  5. Step 5: Solve for x
    x = 20,131,762.18/6,638.42
  6. Step 6: Final answer
    x = 3,032.62

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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.