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Finding the Fourth Proportional to 28,266, 42,399.81 and 7,489.50

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Solution

The fourth proportional to 28,266, 42,399.81 and 7,489.50 is: 11,234.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,266 : 42,399.81 = 7,489.50 : x
  2. Step 2: Convert to fraction form
    28,266/42,399.81 = 7,489.50/x
  3. Step 3: Cross multiply
    28,266x = 42,399.81 × 7,489.50
  4. Step 4: Simplify right side
    28,266x = 317,553,377.00
  5. Step 5: Solve for x
    x = 317,553,377.00/28,266
  6. Step 6: Final answer
    x = 11,234.46

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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.