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Finding the Fourth Proportional to 4,992.89, 6,890.87 and 2,897.02

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Solution

The fourth proportional to 4,992.89, 6,890.87 and 2,897.02 is: 3,998.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,992.89 : 6,890.87 = 2,897.02 : x
  2. Step 2: Convert to fraction form
    4,992.89/6,890.87 = 2,897.02/x
  3. Step 3: Cross multiply
    4,992.89x = 6,890.87 × 2,897.02
  4. Step 4: Simplify right side
    4,992.89x = 19,962,965.30
  5. Step 5: Solve for x
    x = 19,962,965.30/4,992.89
  6. Step 6: Final answer
    x = 3,998.28

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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.