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Finding the Fourth Proportional to 2,943.78, 4,416.05 and 968.73

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Solution

The fourth proportional to 2,943.78, 4,416.05 and 968.73 is: 1,453.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,943.78 : 4,416.05 = 968.73 : x
  2. Step 2: Convert to fraction form
    2,943.78/4,416.05 = 968.73/x
  3. Step 3: Cross multiply
    2,943.78x = 4,416.05 × 968.73
  4. Step 4: Simplify right side
    2,943.78x = 4,277,960.12
  5. Step 5: Solve for x
    x = 4,277,960.12/2,943.78
  6. Step 6: Final answer
    x = 1,453.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.