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Finding the Fourth Proportional to 5,676.84, 7,831.48 and 3,317.92

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Solution

The fourth proportional to 5,676.84, 7,831.48 and 3,317.92 is: 4,577.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.84 : 7,831.48 = 3,317.92 : x
  2. Step 2: Convert to fraction form
    5,676.84/7,831.48 = 3,317.92/x
  3. Step 3: Cross multiply
    5,676.84x = 7,831.48 × 3,317.92
  4. Step 4: Simplify right side
    5,676.84x = 25,984,224.12
  5. Step 5: Solve for x
    x = 25,984,224.12/5,676.84
  6. Step 6: Final answer
    x = 4,577.23

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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.