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Finding the Fourth Proportional to 3,719.81, 5,133.35 and 2,041.22

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Solution

The fourth proportional to 3,719.81, 5,133.35 and 2,041.22 is: 2,816.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,719.81 : 5,133.35 = 2,041.22 : x
  2. Step 2: Convert to fraction form
    3,719.81/5,133.35 = 2,041.22/x
  3. Step 3: Cross multiply
    3,719.81x = 5,133.35 × 2,041.22
  4. Step 4: Simplify right side
    3,719.81x = 10,478,314.62
  5. Step 5: Solve for x
    x = 10,478,314.62/3,719.81
  6. Step 6: Final answer
    x = 2,816.89

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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.