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Finding the Fourth Proportional to 3,719.41, 5,579.08 and 946.07

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Solution

The fourth proportional to 3,719.41, 5,579.08 and 946.07 is: 1,419.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,719.41 : 5,579.08 = 946.07 : x
  2. Step 2: Convert to fraction form
    3,719.41/5,579.08 = 946.07/x
  3. Step 3: Cross multiply
    3,719.41x = 5,579.08 × 946.07
  4. Step 4: Simplify right side
    3,719.41x = 5,278,200.22
  5. Step 5: Solve for x
    x = 5,278,200.22/3,719.41
  6. Step 6: Final answer
    x = 1,419.10

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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.