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Finding the Fourth Proportional to 4,739.69, 7,109.67 and 3,657.26

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Solution

The fourth proportional to 4,739.69, 7,109.67 and 3,657.26 is: 5,485.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,739.69 : 7,109.67 = 3,657.26 : x
  2. Step 2: Convert to fraction form
    4,739.69/7,109.67 = 3,657.26/x
  3. Step 3: Cross multiply
    4,739.69x = 7,109.67 × 3,657.26
  4. Step 4: Simplify right side
    4,739.69x = 26,001,911.70
  5. Step 5: Solve for x
    x = 26,001,911.70/4,739.69
  6. Step 6: Final answer
    x = 5,485.99

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1.5x scale

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.