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Finding the Fourth Proportional to 3,866.77, 5,802.68 and 2,406.93

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Solution

The fourth proportional to 3,866.77, 5,802.68 and 2,406.93 is: 3,611.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.77 : 5,802.68 = 2,406.93 : x
  2. Step 2: Convert to fraction form
    3,866.77/5,802.68 = 2,406.93/x
  3. Step 3: Cross multiply
    3,866.77x = 5,802.68 × 2,406.93
  4. Step 4: Simplify right side
    3,866.77x = 13,966,644.57
  5. Step 5: Solve for x
    x = 13,966,644.57/3,866.77
  6. Step 6: Final answer
    x = 3,611.97

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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.