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Finding the Fourth Proportional to 5,169.16, 7,133.28 and 2,811.28

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Solution

The fourth proportional to 5,169.16, 7,133.28 and 2,811.28 is: 3,879.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169.16 : 7,133.28 = 2,811.28 : x
  2. Step 2: Convert to fraction form
    5,169.16/7,133.28 = 2,811.28/x
  3. Step 3: Cross multiply
    5,169.16x = 7,133.28 × 2,811.28
  4. Step 4: Simplify right side
    5,169.16x = 20,053,647.40
  5. Step 5: Solve for x
    x = 20,053,647.40/5,169.16
  6. Step 6: Final answer
    x = 3,879.48

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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.