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Finding the Fourth Proportional to 7,970.43, 11,955.63 and 3,797.78

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Solution

The fourth proportional to 7,970.43, 11,955.63 and 3,797.78 is: 5,696.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.43 : 11,955.63 = 3,797.78 : x
  2. Step 2: Convert to fraction form
    7,970.43/11,955.63 = 3,797.78/x
  3. Step 3: Cross multiply
    7,970.43x = 11,955.63 × 3,797.78
  4. Step 4: Simplify right side
    7,970.43x = 45,404,852.50
  5. Step 5: Solve for x
    x = 45,404,852.50/7,970.43
  6. Step 6: Final answer
    x = 5,696.66

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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.