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Finding the Fourth Proportional to 3,843, 5,301 and 2,271.60

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Solution

The fourth proportional to 3,843, 5,301 and 2,271.60 is: 3,133.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843 : 5,301 = 2,271.60 : x
  2. Step 2: Convert to fraction form
    3,843/5,301 = 2,271.60/x
  3. Step 3: Cross multiply
    3,843x = 5,301 × 2,271.60
  4. Step 4: Simplify right side
    3,843x = 12,041,751.60
  5. Step 5: Solve for x
    x = 12,041,751.60/3,843
  6. Step 6: Final answer
    x = 3,133.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.