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Finding the Fourth Proportional to 2,647.81, 3,971.91 and 700

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Solution

The fourth proportional to 2,647.81, 3,971.91 and 700 is: 1,050.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.81 : 3,971.91 = 700 : x
  2. Step 2: Convert to fraction form
    2,647.81/3,971.91 = 700/x
  3. Step 3: Cross multiply
    2,647.81x = 3,971.91 × 700
  4. Step 4: Simplify right side
    2,647.81x = 2,780,337
  5. Step 5: Solve for x
    x = 2,780,337/2,647.81
  6. Step 6: Final answer
    x = 1,050.05

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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.