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Finding the Fourth Proportional to 3,873.87, 5,810.13 and 1,099.89

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Solution

The fourth proportional to 3,873.87, 5,810.13 and 1,099.89 is: 1,649.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.87 : 5,810.13 = 1,099.89 : x
  2. Step 2: Convert to fraction form
    3,873.87/5,810.13 = 1,099.89/x
  3. Step 3: Cross multiply
    3,873.87x = 5,810.13 × 1,099.89
  4. Step 4: Simplify right side
    3,873.87x = 6,390,501.14
  5. Step 5: Solve for x
    x = 6,390,501.14/3,873.87
  6. Step 6: Final answer
    x = 1,649.64

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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.