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Finding the Fourth Proportional to 2,145.94, 3,219.99 and 992.50

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Solution

The fourth proportional to 2,145.94, 3,219.99 and 992.50 is: 1,489.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.94 : 3,219.99 = 992.50 : x
  2. Step 2: Convert to fraction form
    2,145.94/3,219.99 = 992.50/x
  3. Step 3: Cross multiply
    2,145.94x = 3,219.99 × 992.50
  4. Step 4: Simplify right side
    2,145.94x = 3,195,840.08
  5. Step 5: Solve for x
    x = 3,195,840.08/2,145.94
  6. Step 6: Final answer
    x = 1,489.25

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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.