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Finding the Fourth Proportional to 5,201.81, 7,795.42 and 2,421.89

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Solution

The fourth proportional to 5,201.81, 7,795.42 and 2,421.89 is: 3,629.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.81 : 7,795.42 = 2,421.89 : x
  2. Step 2: Convert to fraction form
    5,201.81/7,795.42 = 2,421.89/x
  3. Step 3: Cross multiply
    5,201.81x = 7,795.42 × 2,421.89
  4. Step 4: Simplify right side
    5,201.81x = 18,879,649.74
  5. Step 5: Solve for x
    x = 18,879,649.74/5,201.81
  6. Step 6: Final answer
    x = 3,629.44

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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.