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Finding the Fourth Proportional to 4,201.39, 6,302.08 and 1,733.50

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Solution

The fourth proportional to 4,201.39, 6,302.08 and 1,733.50 is: 2,600.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201.39 : 6,302.08 = 1,733.50 : x
  2. Step 2: Convert to fraction form
    4,201.39/6,302.08 = 1,733.50/x
  3. Step 3: Cross multiply
    4,201.39x = 6,302.08 × 1,733.50
  4. Step 4: Simplify right side
    4,201.39x = 10,924,624.17
  5. Step 5: Solve for x
    x = 10,924,624.17/4,201.39
  6. Step 6: Final answer
    x = 2,600.24

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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.