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Finding the Fourth Proportional to 2,794.40, 3,857.64 and 1,746.80

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Solution

The fourth proportional to 2,794.40, 3,857.64 and 1,746.80 is: 2,411.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.40 : 3,857.64 = 1,746.80 : x
  2. Step 2: Convert to fraction form
    2,794.40/3,857.64 = 1,746.80/x
  3. Step 3: Cross multiply
    2,794.40x = 3,857.64 × 1,746.80
  4. Step 4: Simplify right side
    2,794.40x = 6,738,525.55
  5. Step 5: Solve for x
    x = 6,738,525.55/2,794.40
  6. Step 6: Final answer
    x = 2,411.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.