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Finding the Fourth Proportional to 6,670.26, 10,005.26 and 1,739.80

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Solution

The fourth proportional to 6,670.26, 10,005.26 and 1,739.80 is: 2,609.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670.26 : 10,005.26 = 1,739.80 : x
  2. Step 2: Convert to fraction form
    6,670.26/10,005.26 = 1,739.80/x
  3. Step 3: Cross multiply
    6,670.26x = 10,005.26 × 1,739.80
  4. Step 4: Simplify right side
    6,670.26x = 17,407,151.35
  5. Step 5: Solve for x
    x = 17,407,151.35/6,670.26
  6. Step 6: Final answer
    x = 2,609.67

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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.