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Finding the Fourth Proportional to 7,289.96, 10,940.28 and 2,848.28

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Solution

The fourth proportional to 7,289.96, 10,940.28 and 2,848.28 is: 4,274.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,289.96 : 10,940.28 = 2,848.28 : x
  2. Step 2: Convert to fraction form
    7,289.96/10,940.28 = 2,848.28/x
  3. Step 3: Cross multiply
    7,289.96x = 10,940.28 × 2,848.28
  4. Step 4: Simplify right side
    7,289.96x = 31,160,980.72
  5. Step 5: Solve for x
    x = 31,160,980.72/7,289.96
  6. Step 6: Final answer
    x = 4,274.51

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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.