Home / 5,218-7,826.32-1,322.08

Finding the Fourth Proportional to 5,218, 7,826.32 and 1,322.08

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Solution

The fourth proportional to 5,218, 7,826.32 and 1,322.08 is: 1,982.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218 : 7,826.32 = 1,322.08 : x
  2. Step 2: Convert to fraction form
    5,218/7,826.32 = 1,322.08/x
  3. Step 3: Cross multiply
    5,218x = 7,826.32 × 1,322.08
  4. Step 4: Simplify right side
    5,218x = 10,347,021.15
  5. Step 5: Solve for x
    x = 10,347,021.15/5,218
  6. Step 6: Final answer
    x = 1,982.95

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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.