Home / 2,776.96-3,831.92-1,597.80

Finding the Fourth Proportional to 2,776.96, 3,831.92 and 1,597.80

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Solution

The fourth proportional to 2,776.96, 3,831.92 and 1,597.80 is: 2,204.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.96 : 3,831.92 = 1,597.80 : x
  2. Step 2: Convert to fraction form
    2,776.96/3,831.92 = 1,597.80/x
  3. Step 3: Cross multiply
    2,776.96x = 3,831.92 × 1,597.80
  4. Step 4: Simplify right side
    2,776.96x = 6,122,641.78
  5. Step 5: Solve for x
    x = 6,122,641.78/2,776.96
  6. Step 6: Final answer
    x = 2,204.80

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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.