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Finding the Fourth Proportional to 3,872.88, 5,807.50 and 1,405.96

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Solution

The fourth proportional to 3,872.88, 5,807.50 and 1,405.96 is: 2,108.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.88 : 5,807.50 = 1,405.96 : x
  2. Step 2: Convert to fraction form
    3,872.88/5,807.50 = 1,405.96/x
  3. Step 3: Cross multiply
    3,872.88x = 5,807.50 × 1,405.96
  4. Step 4: Simplify right side
    3,872.88x = 8,165,094.67
  5. Step 5: Solve for x
    x = 8,165,094.67/3,872.88
  6. Step 6: Final answer
    x = 2,108.27

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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.