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Finding the Fourth Proportional to 3,866.24, 5,798.70 and 1,786.08

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Solution

The fourth proportional to 3,866.24, 5,798.70 and 1,786.08 is: 2,678.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.24 : 5,798.70 = 1,786.08 : x
  2. Step 2: Convert to fraction form
    3,866.24/5,798.70 = 1,786.08/x
  3. Step 3: Cross multiply
    3,866.24x = 5,798.70 × 1,786.08
  4. Step 4: Simplify right side
    3,866.24x = 10,356,942.10
  5. Step 5: Solve for x
    x = 10,356,942.10/3,866.24
  6. Step 6: Final answer
    x = 2,678.82

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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.