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Finding the Fourth Proportional to 8,207, 11,324.94 and 4,849.96

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Solution

The fourth proportional to 8,207, 11,324.94 and 4,849.96 is: 6,692.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207 : 11,324.94 = 4,849.96 : x
  2. Step 2: Convert to fraction form
    8,207/11,324.94 = 4,849.96/x
  3. Step 3: Cross multiply
    8,207x = 11,324.94 × 4,849.96
  4. Step 4: Simplify right side
    8,207x = 54,925,506.00
  5. Step 5: Solve for x
    x = 54,925,506.00/8,207
  6. Step 6: Final answer
    x = 6,692.52

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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.