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Finding the Fourth Proportional to 2,992.55, 4,130.42 and 1,942.79

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Solution

The fourth proportional to 2,992.55, 4,130.42 and 1,942.79 is: 2,681.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.55 : 4,130.42 = 1,942.79 : x
  2. Step 2: Convert to fraction form
    2,992.55/4,130.42 = 1,942.79/x
  3. Step 3: Cross multiply
    2,992.55x = 4,130.42 × 1,942.79
  4. Step 4: Simplify right side
    2,992.55x = 8,024,508.31
  5. Step 5: Solve for x
    x = 8,024,508.31/2,992.55
  6. Step 6: Final answer
    x = 2,681.50

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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.