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Finding the Fourth Proportional to 3,505.73, 5,258.18 and 1,040.29

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Solution

The fourth proportional to 3,505.73, 5,258.18 and 1,040.29 is: 1,560.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.73 : 5,258.18 = 1,040.29 : x
  2. Step 2: Convert to fraction form
    3,505.73/5,258.18 = 1,040.29/x
  3. Step 3: Cross multiply
    3,505.73x = 5,258.18 × 1,040.29
  4. Step 4: Simplify right side
    3,505.73x = 5,470,021.53
  5. Step 5: Solve for x
    x = 5,470,021.53/3,505.73
  6. Step 6: Final answer
    x = 1,560.31

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Why These Related Problems?

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