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Finding the Fourth Proportional to 3,873.78, 5,810.22 and 1,407.87

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Solution

The fourth proportional to 3,873.78, 5,810.22 and 1,407.87 is: 2,111.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.78 : 5,810.22 = 1,407.87 : x
  2. Step 2: Convert to fraction form
    3,873.78/5,810.22 = 1,407.87/x
  3. Step 3: Cross multiply
    3,873.78x = 5,810.22 × 1,407.87
  4. Step 4: Simplify right side
    3,873.78x = 8,180,034.43
  5. Step 5: Solve for x
    x = 8,180,034.43/3,873.78
  6. Step 6: Final answer
    x = 2,111.64

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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.