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Finding the Fourth Proportional to 2,809.94, 4,211.94 and 1,053.80

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Solution

The fourth proportional to 2,809.94, 4,211.94 and 1,053.80 is: 1,579.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.94 : 4,211.94 = 1,053.80 : x
  2. Step 2: Convert to fraction form
    2,809.94/4,211.94 = 1,053.80/x
  3. Step 3: Cross multiply
    2,809.94x = 4,211.94 × 1,053.80
  4. Step 4: Simplify right side
    2,809.94x = 4,438,521.31
  5. Step 5: Solve for x
    x = 4,438,521.31/2,809.94
  6. Step 6: Final answer
    x = 1,579.58

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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.