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Finding the Fourth Proportional to 1,946.63, 2,667.16 and 1,920.66

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Solution

The fourth proportional to 1,946.63, 2,667.16 and 1,920.66 is: 2,631.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.63 : 2,667.16 = 1,920.66 : x
  2. Step 2: Convert to fraction form
    1,946.63/2,667.16 = 1,920.66/x
  3. Step 3: Cross multiply
    1,946.63x = 2,667.16 × 1,920.66
  4. Step 4: Simplify right side
    1,946.63x = 5,122,684.59
  5. Step 5: Solve for x
    x = 5,122,684.59/1,946.63
  6. Step 6: Final answer
    x = 2,631.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.