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Finding the Fourth Proportional to 3,710.75, 5,562.81 and 1,403.87

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Solution

The fourth proportional to 3,710.75, 5,562.81 and 1,403.87 is: 2,104.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.75 : 5,562.81 = 1,403.87 : x
  2. Step 2: Convert to fraction form
    3,710.75/5,562.81 = 1,403.87/x
  3. Step 3: Cross multiply
    3,710.75x = 5,562.81 × 1,403.87
  4. Step 4: Simplify right side
    3,710.75x = 7,809,434.26
  5. Step 5: Solve for x
    x = 7,809,434.26/3,710.75
  6. Step 6: Final answer
    x = 2,104.55

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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.