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Finding the Fourth Proportional to 2,992.90, 4,130.32 and 1,734

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Solution

The fourth proportional to 2,992.90, 4,130.32 and 1,734 is: 2,392.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.90 : 4,130.32 = 1,734 : x
  2. Step 2: Convert to fraction form
    2,992.90/4,130.32 = 1,734/x
  3. Step 3: Cross multiply
    2,992.90x = 4,130.32 × 1,734
  4. Step 4: Simplify right side
    2,992.90x = 7,161,974.88
  5. Step 5: Solve for x
    x = 7,161,974.88/2,992.90
  6. Step 6: Final answer
    x = 2,392.99

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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.