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Finding the Fourth Proportional to 3,505.77, 5,259.26 and 1,040.74

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Solution

The fourth proportional to 3,505.77, 5,259.26 and 1,040.74 is: 1,561.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.77 : 5,259.26 = 1,040.74 : x
  2. Step 2: Convert to fraction form
    3,505.77/5,259.26 = 1,040.74/x
  3. Step 3: Cross multiply
    3,505.77x = 5,259.26 × 1,040.74
  4. Step 4: Simplify right side
    3,505.77x = 5,473,511.71
  5. Step 5: Solve for x
    x = 5,473,511.71/3,505.77
  6. Step 6: Final answer
    x = 1,561.29

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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.