Home / 5,676-7,831.69-3,317.68

Finding the Fourth Proportional to 5,676, 7,831.69 and 3,317.68

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Solution

The fourth proportional to 5,676, 7,831.69 and 3,317.68 is: 4,577.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676 : 7,831.69 = 3,317.68 : x
  2. Step 2: Convert to fraction form
    5,676/7,831.69 = 3,317.68/x
  3. Step 3: Cross multiply
    5,676x = 7,831.69 × 3,317.68
  4. Step 4: Simplify right side
    5,676x = 25,983,041.28
  5. Step 5: Solve for x
    x = 25,983,041.28/5,676
  6. Step 6: Final answer
    x = 4,577.70

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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.