Home / 5,218.16-7,827.24-2,138

Finding the Fourth Proportional to 5,218.16, 7,827.24 and 2,138

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Solution

The fourth proportional to 5,218.16, 7,827.24 and 2,138 is: 3,207

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.16 : 7,827.24 = 2,138 : x
  2. Step 2: Convert to fraction form
    5,218.16/7,827.24 = 2,138/x
  3. Step 3: Cross multiply
    5,218.16x = 7,827.24 × 2,138
  4. Step 4: Simplify right side
    5,218.16x = 16,734,639.12
  5. Step 5: Solve for x
    x = 16,734,639.12/5,218.16
  6. Step 6: Final answer
    x = 3,207

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.