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Finding the Fourth Proportional to 8,111, 11,193.18 and 4,385

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Solution

The fourth proportional to 8,111, 11,193.18 and 4,385 is: 6,051.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111 : 11,193.18 = 4,385 : x
  2. Step 2: Convert to fraction form
    8,111/11,193.18 = 4,385/x
  3. Step 3: Cross multiply
    8,111x = 11,193.18 × 4,385
  4. Step 4: Simplify right side
    8,111x = 49,082,094.30
  5. Step 5: Solve for x
    x = 49,082,094.30/8,111
  6. Step 6: Final answer
    x = 6,051.30

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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.