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Finding the Fourth Proportional to 3,663.63, 5,493.42 and 2,021.76

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Solution

The fourth proportional to 3,663.63, 5,493.42 and 2,021.76 is: 3,031.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.63 : 5,493.42 = 2,021.76 : x
  2. Step 2: Convert to fraction form
    3,663.63/5,493.42 = 2,021.76/x
  3. Step 3: Cross multiply
    3,663.63x = 5,493.42 × 2,021.76
  4. Step 4: Simplify right side
    3,663.63x = 11,106,376.82
  5. Step 5: Solve for x
    x = 11,106,376.82/3,663.63
  6. Step 6: Final answer
    x = 3,031.52

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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.