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Finding the Fourth Proportional to 7,280.96, 10,926.90 and 2,896.02

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Solution

The fourth proportional to 7,280.96, 10,926.90 and 2,896.02 is: 4,346.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,280.96 : 10,926.90 = 2,896.02 : x
  2. Step 2: Convert to fraction form
    7,280.96/10,926.90 = 2,896.02/x
  3. Step 3: Cross multiply
    7,280.96x = 10,926.90 × 2,896.02
  4. Step 4: Simplify right side
    7,280.96x = 31,644,520.94
  5. Step 5: Solve for x
    x = 31,644,520.94/7,280.96
  6. Step 6: Final answer
    x = 4,346.20

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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.