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Finding the Fourth Proportional to 7,550.97, 10,420.66 and 4,193.78

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Solution

The fourth proportional to 7,550.97, 10,420.66 and 4,193.78 is: 5,787.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,550.97 : 10,420.66 = 4,193.78 : x
  2. Step 2: Convert to fraction form
    7,550.97/10,420.66 = 4,193.78/x
  3. Step 3: Cross multiply
    7,550.97x = 10,420.66 × 4,193.78
  4. Step 4: Simplify right side
    7,550.97x = 43,701,955.49
  5. Step 5: Solve for x
    x = 43,701,955.49/7,550.97
  6. Step 6: Final answer
    x = 5,787.59

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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.