Home / 7,824.63-11,738.87-2,278.02

Finding the Fourth Proportional to 7,824.63, 11,738.87 and 2,278.02

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Solution

The fourth proportional to 7,824.63, 11,738.87 and 2,278.02 is: 3,417.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824.63 : 11,738.87 = 2,278.02 : x
  2. Step 2: Convert to fraction form
    7,824.63/11,738.87 = 2,278.02/x
  3. Step 3: Cross multiply
    7,824.63x = 11,738.87 × 2,278.02
  4. Step 4: Simplify right side
    7,824.63x = 26,741,409.98
  5. Step 5: Solve for x
    x = 26,741,409.98/7,824.63
  6. Step 6: Final answer
    x = 3,417.59

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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.