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Finding the Fourth Proportional to 1,956.94, 2,700.63 and 1,072.80

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Solution

The fourth proportional to 1,956.94, 2,700.63 and 1,072.80 is: 1,480.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956.94 : 2,700.63 = 1,072.80 : x
  2. Step 2: Convert to fraction form
    1,956.94/2,700.63 = 1,072.80/x
  3. Step 3: Cross multiply
    1,956.94x = 2,700.63 × 1,072.80
  4. Step 4: Simplify right side
    1,956.94x = 2,897,235.86
  5. Step 5: Solve for x
    x = 2,897,235.86/1,956.94
  6. Step 6: Final answer
    x = 1,480.49

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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.