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Finding the Fourth Proportional to 8,263.92, 11,419 and 6,148

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Solution

The fourth proportional to 8,263.92, 11,419 and 6,148 is: 8,495.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263.92 : 11,419 = 6,148 : x
  2. Step 2: Convert to fraction form
    8,263.92/11,419 = 6,148/x
  3. Step 3: Cross multiply
    8,263.92x = 11,419 × 6,148
  4. Step 4: Simplify right side
    8,263.92x = 70,204,012
  5. Step 5: Solve for x
    x = 70,204,012/8,263.92
  6. Step 6: Final answer
    x = 8,495.24

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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.