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Finding the Fourth Proportional to 3,806.39, 5,259.47 and 2,929.77

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Solution

The fourth proportional to 3,806.39, 5,259.47 and 2,929.77 is: 4,048.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.39 : 5,259.47 = 2,929.77 : x
  2. Step 2: Convert to fraction form
    3,806.39/5,259.47 = 2,929.77/x
  3. Step 3: Cross multiply
    3,806.39x = 5,259.47 × 2,929.77
  4. Step 4: Simplify right side
    3,806.39x = 15,409,022.77
  5. Step 5: Solve for x
    x = 15,409,022.77/3,806.39
  6. Step 6: Final answer
    x = 4,048.20

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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.