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Finding the Fourth Proportional to 5,281.75, 7,923.03 and 1,819

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Solution

The fourth proportional to 5,281.75, 7,923.03 and 1,819 is: 2,728.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,281.75 : 7,923.03 = 1,819 : x
  2. Step 2: Convert to fraction form
    5,281.75/7,923.03 = 1,819/x
  3. Step 3: Cross multiply
    5,281.75x = 7,923.03 × 1,819
  4. Step 4: Simplify right side
    5,281.75x = 14,411,991.57
  5. Step 5: Solve for x
    x = 14,411,991.57/5,281.75
  6. Step 6: Final answer
    x = 2,728.64

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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.