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Finding the Fourth Proportional to 3,203.63, 4,421.01 and 1,731.63

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Solution

The fourth proportional to 3,203.63, 4,421.01 and 1,731.63 is: 2,389.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.63 : 4,421.01 = 1,731.63 : x
  2. Step 2: Convert to fraction form
    3,203.63/4,421.01 = 1,731.63/x
  3. Step 3: Cross multiply
    3,203.63x = 4,421.01 × 1,731.63
  4. Step 4: Simplify right side
    3,203.63x = 7,655,553.55
  5. Step 5: Solve for x
    x = 7,655,553.55/3,203.63
  6. Step 6: Final answer
    x = 2,389.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.