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Finding the Fourth Proportional to 6,170, 9,253.86 and 1,786.40

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Solution

The fourth proportional to 6,170, 9,253.86 and 1,786.40 is: 2,679.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,170 : 9,253.86 = 1,786.40 : x
  2. Step 2: Convert to fraction form
    6,170/9,253.86 = 1,786.40/x
  3. Step 3: Cross multiply
    6,170x = 9,253.86 × 1,786.40
  4. Step 4: Simplify right side
    6,170x = 16,531,095.50
  5. Step 5: Solve for x
    x = 16,531,095.50/6,170
  6. Step 6: Final answer
    x = 2,679.27

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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.