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Finding the Fourth Proportional to 3,970.88, 5,976.26 and 2,988.78

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Solution

The fourth proportional to 3,970.88, 5,976.26 and 2,988.78 is: 4,498.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.88 : 5,976.26 = 2,988.78 : x
  2. Step 2: Convert to fraction form
    3,970.88/5,976.26 = 2,988.78/x
  3. Step 3: Cross multiply
    3,970.88x = 5,976.26 × 2,988.78
  4. Step 4: Simplify right side
    3,970.88x = 17,861,733.83
  5. Step 5: Solve for x
    x = 17,861,733.83/3,970.88
  6. Step 6: Final answer
    x = 4,498.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.