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Finding the Fourth Proportional to 9,794, 14,691 and 2,868.56

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Solution

The fourth proportional to 9,794, 14,691 and 2,868.56 is: 4,302.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794 : 14,691 = 2,868.56 : x
  2. Step 2: Convert to fraction form
    9,794/14,691 = 2,868.56/x
  3. Step 3: Cross multiply
    9,794x = 14,691 × 2,868.56
  4. Step 4: Simplify right side
    9,794x = 42,142,014.96
  5. Step 5: Solve for x
    x = 42,142,014.96/9,794
  6. Step 6: Final answer
    x = 4,302.84

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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.