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Finding the Fourth Proportional to 3,643.81, 5,028.28 and 2,071.87

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Solution

The fourth proportional to 3,643.81, 5,028.28 and 2,071.87 is: 2,859.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.81 : 5,028.28 = 2,071.87 : x
  2. Step 2: Convert to fraction form
    3,643.81/5,028.28 = 2,071.87/x
  3. Step 3: Cross multiply
    3,643.81x = 5,028.28 × 2,071.87
  4. Step 4: Simplify right side
    3,643.81x = 10,417,942.48
  5. Step 5: Solve for x
    x = 10,417,942.48/3,643.81
  6. Step 6: Final answer
    x = 2,859.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.