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Finding the Fourth Proportional to 5,228.82, 7,811.64 and 3,364.74

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Solution

The fourth proportional to 5,228.82, 7,811.64 and 3,364.74 is: 5,026.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.82 : 7,811.64 = 3,364.74 : x
  2. Step 2: Convert to fraction form
    5,228.82/7,811.64 = 3,364.74/x
  3. Step 3: Cross multiply
    5,228.82x = 7,811.64 × 3,364.74
  4. Step 4: Simplify right side
    5,228.82x = 26,284,137.57
  5. Step 5: Solve for x
    x = 26,284,137.57/5,228.82
  6. Step 6: Final answer
    x = 5,026.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.