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Finding the Fourth Proportional to 7,940.03, 10,970.43 and 6,274.22

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Solution

The fourth proportional to 7,940.03, 10,970.43 and 6,274.22 is: 8,668.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,940.03 : 10,970.43 = 6,274.22 : x
  2. Step 2: Convert to fraction form
    7,940.03/10,970.43 = 6,274.22/x
  3. Step 3: Cross multiply
    7,940.03x = 10,970.43 × 6,274.22
  4. Step 4: Simplify right side
    7,940.03x = 68,830,891.31
  5. Step 5: Solve for x
    x = 68,830,891.31/7,940.03
  6. Step 6: Final answer
    x = 8,668.85

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1.5x scale

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.