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Finding the Fourth Proportional to 2,992.52, 4,129.52 and 1,857.90

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Solution

The fourth proportional to 2,992.52, 4,129.52 and 1,857.90 is: 2,563.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.52 : 4,129.52 = 1,857.90 : x
  2. Step 2: Convert to fraction form
    2,992.52/4,129.52 = 1,857.90/x
  3. Step 3: Cross multiply
    2,992.52x = 4,129.52 × 1,857.90
  4. Step 4: Simplify right side
    2,992.52x = 7,672,235.21
  5. Step 5: Solve for x
    x = 7,672,235.21/2,992.52
  6. Step 6: Final answer
    x = 2,563.80

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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.