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Finding the Fourth Proportional to 2,805.76, 4,208.52 and 1,074.28

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Solution

The fourth proportional to 2,805.76, 4,208.52 and 1,074.28 is: 1,611.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.76 : 4,208.52 = 1,074.28 : x
  2. Step 2: Convert to fraction form
    2,805.76/4,208.52 = 1,074.28/x
  3. Step 3: Cross multiply
    2,805.76x = 4,208.52 × 1,074.28
  4. Step 4: Simplify right side
    2,805.76x = 4,521,128.87
  5. Step 5: Solve for x
    x = 4,521,128.87/2,805.76
  6. Step 6: Final answer
    x = 1,611.37

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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.