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Finding the Fourth Proportional to 1,794.63, 2,477.81 and 1,269.75

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Solution

The fourth proportional to 1,794.63, 2,477.81 and 1,269.75 is: 1,753.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794.63 : 2,477.81 = 1,269.75 : x
  2. Step 2: Convert to fraction form
    1,794.63/2,477.81 = 1,269.75/x
  3. Step 3: Cross multiply
    1,794.63x = 2,477.81 × 1,269.75
  4. Step 4: Simplify right side
    1,794.63x = 3,146,199.25
  5. Step 5: Solve for x
    x = 3,146,199.25/1,794.63
  6. Step 6: Final answer
    x = 1,753.12

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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.