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Finding the Fourth Proportional to 3,866.34, 5,800.36 and 1,234.65

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Solution

The fourth proportional to 3,866.34, 5,800.36 and 1,234.65 is: 1,852.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.34 : 5,800.36 = 1,234.65 : x
  2. Step 2: Convert to fraction form
    3,866.34/5,800.36 = 1,234.65/x
  3. Step 3: Cross multiply
    3,866.34x = 5,800.36 × 1,234.65
  4. Step 4: Simplify right side
    3,866.34x = 7,161,411.39
  5. Step 5: Solve for x
    x = 7,161,411.39/3,866.34
  6. Step 6: Final answer
    x = 1,852.25

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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.