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Finding the Fourth Proportional to 6,638.54, 9,959.43 and 2,021.54

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Solution

The fourth proportional to 6,638.54, 9,959.43 and 2,021.54 is: 3,032.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,638.54 : 9,959.43 = 2,021.54 : x
  2. Step 2: Convert to fraction form
    6,638.54/9,959.43 = 2,021.54/x
  3. Step 3: Cross multiply
    6,638.54x = 9,959.43 × 2,021.54
  4. Step 4: Simplify right side
    6,638.54x = 20,133,386.12
  5. Step 5: Solve for x
    x = 20,133,386.12/6,638.54
  6. Step 6: Final answer
    x = 3,032.80

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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.