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Finding the Fourth Proportional to 3,535.54, 5,302.61 and 1,069.78

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Solution

The fourth proportional to 3,535.54, 5,302.61 and 1,069.78 is: 1,604.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.54 : 5,302.61 = 1,069.78 : x
  2. Step 2: Convert to fraction form
    3,535.54/5,302.61 = 1,069.78/x
  3. Step 3: Cross multiply
    3,535.54x = 5,302.61 × 1,069.78
  4. Step 4: Simplify right side
    3,535.54x = 5,672,615.54
  5. Step 5: Solve for x
    x = 5,672,615.54/3,535.54
  6. Step 6: Final answer
    x = 1,604.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.