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Finding the Fourth Proportional to 2,992.72, 4,130.10 and 1,813.90

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Solution

The fourth proportional to 2,992.72, 4,130.10 and 1,813.90 is: 2,503.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.72 : 4,130.10 = 1,813.90 : x
  2. Step 2: Convert to fraction form
    2,992.72/4,130.10 = 1,813.90/x
  3. Step 3: Cross multiply
    2,992.72x = 4,130.10 × 1,813.90
  4. Step 4: Simplify right side
    2,992.72x = 7,491,588.39
  5. Step 5: Solve for x
    x = 7,491,588.39/2,992.72
  6. Step 6: Final answer
    x = 2,503.27

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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.