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Finding the Fourth Proportional to 3,724, 5,139.28 and 2,068

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Solution

The fourth proportional to 3,724, 5,139.28 and 2,068 is: 2,853.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,724 : 5,139.28 = 2,068 : x
  2. Step 2: Convert to fraction form
    3,724/5,139.28 = 2,068/x
  3. Step 3: Cross multiply
    3,724x = 5,139.28 × 2,068
  4. Step 4: Simplify right side
    3,724x = 10,628,031.04
  5. Step 5: Solve for x
    x = 10,628,031.04/3,724
  6. Step 6: Final answer
    x = 2,853.93

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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.