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Finding the Fourth Proportional to 2,580.39, 3,871.40 and 936.50

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Solution

The fourth proportional to 2,580.39, 3,871.40 and 936.50 is: 1,405.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.39 : 3,871.40 = 936.50 : x
  2. Step 2: Convert to fraction form
    2,580.39/3,871.40 = 936.50/x
  3. Step 3: Cross multiply
    2,580.39x = 3,871.40 × 936.50
  4. Step 4: Simplify right side
    2,580.39x = 3,625,542.06
  5. Step 5: Solve for x
    x = 3,625,542.06/2,580.39
  6. Step 6: Final answer
    x = 1,405.04

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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.