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Finding the Fourth Proportional to 7,750.74, 10,696.26 and 4,214.22

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Solution

The fourth proportional to 7,750.74, 10,696.26 and 4,214.22 is: 5,815.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.74 : 10,696.26 = 4,214.22 : x
  2. Step 2: Convert to fraction form
    7,750.74/10,696.26 = 4,214.22/x
  3. Step 3: Cross multiply
    7,750.74x = 10,696.26 × 4,214.22
  4. Step 4: Simplify right side
    7,750.74x = 45,076,392.82
  5. Step 5: Solve for x
    x = 45,076,392.82/7,750.74
  6. Step 6: Final answer
    x = 5,815.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.