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Finding the Fourth Proportional to 5,303.60, 7,943.70 and 3,322.78

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Solution

The fourth proportional to 5,303.60, 7,943.70 and 3,322.78 is: 4,976.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303.60 : 7,943.70 = 3,322.78 : x
  2. Step 2: Convert to fraction form
    5,303.60/7,943.70 = 3,322.78/x
  3. Step 3: Cross multiply
    5,303.60x = 7,943.70 × 3,322.78
  4. Step 4: Simplify right side
    5,303.60x = 26,395,147.63
  5. Step 5: Solve for x
    x = 26,395,147.63/5,303.60
  6. Step 6: Final answer
    x = 4,976.83

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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.