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Finding the Fourth Proportional to 3,843.40, 5,303.04 and 2,271.04

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Solution

The fourth proportional to 3,843.40, 5,303.04 and 2,271.04 is: 3,133.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.40 : 5,303.04 = 2,271.04 : x
  2. Step 2: Convert to fraction form
    3,843.40/5,303.04 = 2,271.04/x
  3. Step 3: Cross multiply
    3,843.40x = 5,303.04 × 2,271.04
  4. Step 4: Simplify right side
    3,843.40x = 12,043,415.96
  5. Step 5: Solve for x
    x = 12,043,415.96/3,843.40
  6. Step 6: Final answer
    x = 3,133.53

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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.