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Finding the Fourth Proportional to 2,940.71, 4,409.64 and 992.25

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Solution

The fourth proportional to 2,940.71, 4,409.64 and 992.25 is: 1,487.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.71 : 4,409.64 = 992.25 : x
  2. Step 2: Convert to fraction form
    2,940.71/4,409.64 = 992.25/x
  3. Step 3: Cross multiply
    2,940.71x = 4,409.64 × 992.25
  4. Step 4: Simplify right side
    2,940.71x = 4,375,465.29
  5. Step 5: Solve for x
    x = 4,375,465.29/2,940.71
  6. Step 6: Final answer
    x = 1,487.90

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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.