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Finding the Fourth Proportional to 2,794.98, 4,192.56 and 1,407.57

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Solution

The fourth proportional to 2,794.98, 4,192.56 and 1,407.57 is: 2,111.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.98 : 4,192.56 = 1,407.57 : x
  2. Step 2: Convert to fraction form
    2,794.98/4,192.56 = 1,407.57/x
  3. Step 3: Cross multiply
    2,794.98x = 4,192.56 × 1,407.57
  4. Step 4: Simplify right side
    2,794.98x = 5,901,321.68
  5. Step 5: Solve for x
    x = 5,901,321.68/2,794.98
  6. Step 6: Final answer
    x = 2,111.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.