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Finding the Fourth Proportional to 7,300.40, 10,944.60 and 3,143.60

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Solution

The fourth proportional to 7,300.40, 10,944.60 and 3,143.60 is: 4,712.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,300.40 : 10,944.60 = 3,143.60 : x
  2. Step 2: Convert to fraction form
    7,300.40/10,944.60 = 3,143.60/x
  3. Step 3: Cross multiply
    7,300.40x = 10,944.60 × 3,143.60
  4. Step 4: Simplify right side
    7,300.40x = 34,405,444.56
  5. Step 5: Solve for x
    x = 34,405,444.56/7,300.40
  6. Step 6: Final answer
    x = 4,712.82

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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.