Home / 2,740.82-3,782.32-1,562.26

Finding the Fourth Proportional to 2,740.82, 3,782.32 and 1,562.26

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Solution

The fourth proportional to 2,740.82, 3,782.32 and 1,562.26 is: 2,155.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.82 : 3,782.32 = 1,562.26 : x
  2. Step 2: Convert to fraction form
    2,740.82/3,782.32 = 1,562.26/x
  3. Step 3: Cross multiply
    2,740.82x = 3,782.32 × 1,562.26
  4. Step 4: Simplify right side
    2,740.82x = 5,908,967.24
  5. Step 5: Solve for x
    x = 5,908,967.24/2,740.82
  6. Step 6: Final answer
    x = 2,155.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.