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Finding the Fourth Proportional to 1,946, 2,685.48 and 1,118

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Solution

The fourth proportional to 1,946, 2,685.48 and 1,118 is: 1,542.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946 : 2,685.48 = 1,118 : x
  2. Step 2: Convert to fraction form
    1,946/2,685.48 = 1,118/x
  3. Step 3: Cross multiply
    1,946x = 2,685.48 × 1,118
  4. Step 4: Simplify right side
    1,946x = 3,002,366.64
  5. Step 5: Solve for x
    x = 3,002,366.64/1,946
  6. Step 6: Final answer
    x = 1,542.84

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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.