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Finding the Fourth Proportional to 3,716, 5,128.56 and 2,143.84

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Solution

The fourth proportional to 3,716, 5,128.56 and 2,143.84 is: 2,958.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,716 : 5,128.56 = 2,143.84 : x
  2. Step 2: Convert to fraction form
    3,716/5,128.56 = 2,143.84/x
  3. Step 3: Cross multiply
    3,716x = 5,128.56 × 2,143.84
  4. Step 4: Simplify right side
    3,716x = 10,994,812.07
  5. Step 5: Solve for x
    x = 10,994,812.07/3,716
  6. Step 6: Final answer
    x = 2,958.78

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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.