Home / 8,538.24-11,782.32-4,812

Finding the Fourth Proportional to 8,538.24, 11,782.32 and 4,812

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Solution

The fourth proportional to 8,538.24, 11,782.32 and 4,812 is: 6,640.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.24 : 11,782.32 = 4,812 : x
  2. Step 2: Convert to fraction form
    8,538.24/11,782.32 = 4,812/x
  3. Step 3: Cross multiply
    8,538.24x = 11,782.32 × 4,812
  4. Step 4: Simplify right side
    8,538.24x = 56,696,523.84
  5. Step 5: Solve for x
    x = 56,696,523.84/8,538.24
  6. Step 6: Final answer
    x = 6,640.31

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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.