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Finding the Fourth Proportional to 28,270.50, 42,406.56 and 7,494

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Solution

The fourth proportional to 28,270.50, 42,406.56 and 7,494 is: 11,241.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,270.50 : 42,406.56 = 7,494 : x
  2. Step 2: Convert to fraction form
    28,270.50/42,406.56 = 7,494/x
  3. Step 3: Cross multiply
    28,270.50x = 42,406.56 × 7,494
  4. Step 4: Simplify right side
    28,270.50x = 317,794,760.64
  5. Step 5: Solve for x
    x = 317,794,760.64/28,270.50
  6. Step 6: Final answer
    x = 11,241.21

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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.