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Finding the Fourth Proportional to 5,676.97, 7,831.28 and 3,317.74

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Solution

The fourth proportional to 5,676.97, 7,831.28 and 3,317.74 is: 4,576.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.97 : 7,831.28 = 3,317.74 : x
  2. Step 2: Convert to fraction form
    5,676.97/7,831.28 = 3,317.74/x
  3. Step 3: Cross multiply
    5,676.97x = 7,831.28 × 3,317.74
  4. Step 4: Simplify right side
    5,676.97x = 25,982,183.67
  5. Step 5: Solve for x
    x = 25,982,183.67/5,676.97
  6. Step 6: Final answer
    x = 4,576.77

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1.5x scale

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.