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Finding the Fourth Proportional to 3,426.71, 4,728.38 and 1,934.55

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Solution

The fourth proportional to 3,426.71, 4,728.38 and 1,934.55 is: 2,669.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426.71 : 4,728.38 = 1,934.55 : x
  2. Step 2: Convert to fraction form
    3,426.71/4,728.38 = 1,934.55/x
  3. Step 3: Cross multiply
    3,426.71x = 4,728.38 × 1,934.55
  4. Step 4: Simplify right side
    3,426.71x = 9,147,277.86
  5. Step 5: Solve for x
    x = 9,147,277.86/3,426.71
  6. Step 6: Final answer
    x = 2,669.41

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Half scale
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Double scale
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1.5x scale

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.