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Finding the Fourth Proportional to 6,523.64, 9,786.90 and 1,907

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Solution

The fourth proportional to 6,523.64, 9,786.90 and 1,907 is: 2,860.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.64 : 9,786.90 = 1,907 : x
  2. Step 2: Convert to fraction form
    6,523.64/9,786.90 = 1,907/x
  3. Step 3: Cross multiply
    6,523.64x = 9,786.90 × 1,907
  4. Step 4: Simplify right side
    6,523.64x = 18,663,618.30
  5. Step 5: Solve for x
    x = 18,663,618.30/6,523.64
  6. Step 6: Final answer
    x = 2,860.92

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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.