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Finding the Fourth Proportional to 3,866.07, 5,800.85 and 1,645.50

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Solution

The fourth proportional to 3,866.07, 5,800.85 and 1,645.50 is: 2,468.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.07 : 5,800.85 = 1,645.50 : x
  2. Step 2: Convert to fraction form
    3,866.07/5,800.85 = 1,645.50/x
  3. Step 3: Cross multiply
    3,866.07x = 5,800.85 × 1,645.50
  4. Step 4: Simplify right side
    3,866.07x = 9,545,298.68
  5. Step 5: Solve for x
    x = 9,545,298.68/3,866.07
  6. Step 6: Final answer
    x = 2,468.99

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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.