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Finding the Fourth Proportional to 2,130.52, 2,940.10 and 1,199

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Solution

The fourth proportional to 2,130.52, 2,940.10 and 1,199 is: 1,654.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.52 : 2,940.10 = 1,199 : x
  2. Step 2: Convert to fraction form
    2,130.52/2,940.10 = 1,199/x
  3. Step 3: Cross multiply
    2,130.52x = 2,940.10 × 1,199
  4. Step 4: Simplify right side
    2,130.52x = 3,525,179.90
  5. Step 5: Solve for x
    x = 3,525,179.90/2,130.52
  6. Step 6: Final answer
    x = 1,654.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.