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Finding the Fourth Proportional to 6,936, 10,405.04 and 2,553.12

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Solution

The fourth proportional to 6,936, 10,405.04 and 2,553.12 is: 3,830.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,936 : 10,405.04 = 2,553.12 : x
  2. Step 2: Convert to fraction form
    6,936/10,405.04 = 2,553.12/x
  3. Step 3: Cross multiply
    6,936x = 10,405.04 × 2,553.12
  4. Step 4: Simplify right side
    6,936x = 26,565,302.96
  5. Step 5: Solve for x
    x = 26,565,302.96/6,936
  6. Step 6: Final answer
    x = 3,830.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.