Home / 2,775.78-3,831.43-1,597.64

Finding the Fourth Proportional to 2,775.78, 3,831.43 and 1,597.64

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Solution

The fourth proportional to 2,775.78, 3,831.43 and 1,597.64 is: 2,205.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.78 : 3,831.43 = 1,597.64 : x
  2. Step 2: Convert to fraction form
    2,775.78/3,831.43 = 1,597.64/x
  3. Step 3: Cross multiply
    2,775.78x = 3,831.43 × 1,597.64
  4. Step 4: Simplify right side
    2,775.78x = 6,121,245.83
  5. Step 5: Solve for x
    x = 6,121,245.83/2,775.78
  6. Step 6: Final answer
    x = 2,205.23

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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.