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Finding the Fourth Proportional to 2,157.36, 3,232.41 and 985.44

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Solution

The fourth proportional to 2,157.36, 3,232.41 and 985.44 is: 1,476.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.36 : 3,232.41 = 985.44 : x
  2. Step 2: Convert to fraction form
    2,157.36/3,232.41 = 985.44/x
  3. Step 3: Cross multiply
    2,157.36x = 3,232.41 × 985.44
  4. Step 4: Simplify right side
    2,157.36x = 3,185,346.11
  5. Step 5: Solve for x
    x = 3,185,346.11/2,157.36
  6. Step 6: Final answer
    x = 1,476.50

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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.