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Finding the Fourth Proportional to 4,892.98, 7,339.38 and 1,971.21

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Solution

The fourth proportional to 4,892.98, 7,339.38 and 1,971.21 is: 2,956.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.98 : 7,339.38 = 1,971.21 : x
  2. Step 2: Convert to fraction form
    4,892.98/7,339.38 = 1,971.21/x
  3. Step 3: Cross multiply
    4,892.98x = 7,339.38 × 1,971.21
  4. Step 4: Simplify right side
    4,892.98x = 14,467,459.25
  5. Step 5: Solve for x
    x = 14,467,459.25/4,892.98
  6. Step 6: Final answer
    x = 2,956.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.