Home / 2,776.70-3,831.87-1,782

Finding the Fourth Proportional to 2,776.70, 3,831.87 and 1,782

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Solution

The fourth proportional to 2,776.70, 3,831.87 and 1,782 is: 2,459.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.70 : 3,831.87 = 1,782 : x
  2. Step 2: Convert to fraction form
    2,776.70/3,831.87 = 1,782/x
  3. Step 3: Cross multiply
    2,776.70x = 3,831.87 × 1,782
  4. Step 4: Simplify right side
    2,776.70x = 6,828,392.34
  5. Step 5: Solve for x
    x = 6,828,392.34/2,776.70
  6. Step 6: Final answer
    x = 2,459.18

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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.