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Finding the Fourth Proportional to 3,719.02, 5,578.05 and 945.45

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Solution

The fourth proportional to 3,719.02, 5,578.05 and 945.45 is: 1,418.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,719.02 : 5,578.05 = 945.45 : x
  2. Step 2: Convert to fraction form
    3,719.02/5,578.05 = 945.45/x
  3. Step 3: Cross multiply
    3,719.02x = 5,578.05 × 945.45
  4. Step 4: Simplify right side
    3,719.02x = 5,273,767.37
  5. Step 5: Solve for x
    x = 5,273,767.37/3,719.02
  6. Step 6: Final answer
    x = 1,418.05

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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.