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Finding the Fourth Proportional to 3,970.63, 5,479.07 and 2,292.57

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Solution

The fourth proportional to 3,970.63, 5,479.07 and 2,292.57 is: 3,163.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.63 : 5,479.07 = 2,292.57 : x
  2. Step 2: Convert to fraction form
    3,970.63/5,479.07 = 2,292.57/x
  3. Step 3: Cross multiply
    3,970.63x = 5,479.07 × 2,292.57
  4. Step 4: Simplify right side
    3,970.63x = 12,561,140.05
  5. Step 5: Solve for x
    x = 12,561,140.05/3,970.63
  6. Step 6: Final answer
    x = 3,163.52

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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.