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Finding the Fourth Proportional to 3,505.88, 5,259.57 and 1,040.87

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Solution

The fourth proportional to 3,505.88, 5,259.57 and 1,040.87 is: 1,561.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.88 : 5,259.57 = 1,040.87 : x
  2. Step 2: Convert to fraction form
    3,505.88/5,259.57 = 1,040.87/x
  3. Step 3: Cross multiply
    3,505.88x = 5,259.57 × 1,040.87
  4. Step 4: Simplify right side
    3,505.88x = 5,474,502.33
  5. Step 5: Solve for x
    x = 5,474,502.33/3,505.88
  6. Step 6: Final answer
    x = 1,561.52

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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.