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Finding the Fourth Proportional to 3,866.95, 5,800.70 and 1,675.81

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Solution

The fourth proportional to 3,866.95, 5,800.70 and 1,675.81 is: 2,513.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.95 : 5,800.70 = 1,675.81 : x
  2. Step 2: Convert to fraction form
    3,866.95/5,800.70 = 1,675.81/x
  3. Step 3: Cross multiply
    3,866.95x = 5,800.70 × 1,675.81
  4. Step 4: Simplify right side
    3,866.95x = 9,720,871.07
  5. Step 5: Solve for x
    x = 9,720,871.07/3,866.95
  6. Step 6: Final answer
    x = 2,513.83

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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.