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Finding the Fourth Proportional to 3,807.56, 5,712.46 and 1,210.44

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Solution

The fourth proportional to 3,807.56, 5,712.46 and 1,210.44 is: 1,816.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.56 : 5,712.46 = 1,210.44 : x
  2. Step 2: Convert to fraction form
    3,807.56/5,712.46 = 1,210.44/x
  3. Step 3: Cross multiply
    3,807.56x = 5,712.46 × 1,210.44
  4. Step 4: Simplify right side
    3,807.56x = 6,914,590.08
  5. Step 5: Solve for x
    x = 6,914,590.08/3,807.56
  6. Step 6: Final answer
    x = 1,816.02

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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.