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Finding the Fourth Proportional to 5,139.10, 7,713.02 and 2,021.28

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Solution

The fourth proportional to 5,139.10, 7,713.02 and 2,021.28 is: 3,033.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,139.10 : 7,713.02 = 2,021.28 : x
  2. Step 2: Convert to fraction form
    5,139.10/7,713.02 = 2,021.28/x
  3. Step 3: Cross multiply
    5,139.10x = 7,713.02 × 2,021.28
  4. Step 4: Simplify right side
    5,139.10x = 15,590,173.07
  5. Step 5: Solve for x
    x = 15,590,173.07/5,139.10
  6. Step 6: Final answer
    x = 3,033.64

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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.