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Finding the Fourth Proportional to 7,750.74, 10,696.15 and 4,213.97

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Solution

The fourth proportional to 7,750.74, 10,696.15 and 4,213.97 is: 5,815.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.74 : 10,696.15 = 4,213.97 : x
  2. Step 2: Convert to fraction form
    7,750.74/10,696.15 = 4,213.97/x
  3. Step 3: Cross multiply
    7,750.74x = 10,696.15 × 4,213.97
  4. Step 4: Simplify right side
    7,750.74x = 45,073,255.22
  5. Step 5: Solve for x
    x = 45,073,255.22/7,750.74
  6. Step 6: Final answer
    x = 5,815.35

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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.