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Finding the Fourth Proportional to 7,483.98, 11,226 and 2,289.84

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Solution

The fourth proportional to 7,483.98, 11,226 and 2,289.84 is: 3,434.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,483.98 : 11,226 = 2,289.84 : x
  2. Step 2: Convert to fraction form
    7,483.98/11,226 = 2,289.84/x
  3. Step 3: Cross multiply
    7,483.98x = 11,226 × 2,289.84
  4. Step 4: Simplify right side
    7,483.98x = 25,705,743.84
  5. Step 5: Solve for x
    x = 25,705,743.84/7,483.98
  6. Step 6: Final answer
    x = 3,434.77

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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.