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Finding the Fourth Proportional to 8,199.63, 11,313.27 and 5,678.91

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Solution

The fourth proportional to 8,199.63, 11,313.27 and 5,678.91 is: 7,835.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199.63 : 11,313.27 = 5,678.91 : x
  2. Step 2: Convert to fraction form
    8,199.63/11,313.27 = 5,678.91/x
  3. Step 3: Cross multiply
    8,199.63x = 11,313.27 × 5,678.91
  4. Step 4: Simplify right side
    8,199.63x = 64,247,042.14
  5. Step 5: Solve for x
    x = 64,247,042.14/8,199.63
  6. Step 6: Final answer
    x = 7,835.36

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1.5x scale

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.