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Finding the Fourth Proportional to 3,873.56, 5,807.90 and 2,555.90

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Solution

The fourth proportional to 3,873.56, 5,807.90 and 2,555.90 is: 3,832.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.56 : 5,807.90 = 2,555.90 : x
  2. Step 2: Convert to fraction form
    3,873.56/5,807.90 = 2,555.90/x
  3. Step 3: Cross multiply
    3,873.56x = 5,807.90 × 2,555.90
  4. Step 4: Simplify right side
    3,873.56x = 14,844,411.61
  5. Step 5: Solve for x
    x = 14,844,411.61/3,873.56
  6. Step 6: Final answer
    x = 3,832.24

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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.