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Finding the Fourth Proportional to 7,228.78, 10,843.20 and 2,848.30

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Solution

The fourth proportional to 7,228.78, 10,843.20 and 2,848.30 is: 4,272.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228.78 : 10,843.20 = 2,848.30 : x
  2. Step 2: Convert to fraction form
    7,228.78/10,843.20 = 2,848.30/x
  3. Step 3: Cross multiply
    7,228.78x = 10,843.20 × 2,848.30
  4. Step 4: Simplify right side
    7,228.78x = 30,884,686.56
  5. Step 5: Solve for x
    x = 30,884,686.56/7,228.78
  6. Step 6: Final answer
    x = 4,272.46

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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.