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Finding the Fourth Proportional to 3,137.64, 4,724.76 and 2,321.64

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Solution

The fourth proportional to 3,137.64, 4,724.76 and 2,321.64 is: 3,496.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.64 : 4,724.76 = 2,321.64 : x
  2. Step 2: Convert to fraction form
    3,137.64/4,724.76 = 2,321.64/x
  3. Step 3: Cross multiply
    3,137.64x = 4,724.76 × 2,321.64
  4. Step 4: Simplify right side
    3,137.64x = 10,969,191.81
  5. Step 5: Solve for x
    x = 10,969,191.81/3,137.64
  6. Step 6: Final answer
    x = 3,496.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.