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Finding the Fourth Proportional to 2,992.87, 4,130.26 and 1,798.07

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Solution

The fourth proportional to 2,992.87, 4,130.26 and 1,798.07 is: 2,481.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.87 : 4,130.26 = 1,798.07 : x
  2. Step 2: Convert to fraction form
    2,992.87/4,130.26 = 1,798.07/x
  3. Step 3: Cross multiply
    2,992.87x = 4,130.26 × 1,798.07
  4. Step 4: Simplify right side
    2,992.87x = 7,426,487.61
  5. Step 5: Solve for x
    x = 7,426,487.61/2,992.87
  6. Step 6: Final answer
    x = 2,481.39

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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.