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Finding the Fourth Proportional to 4,842.56, 7,263 and 1,379

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Solution

The fourth proportional to 4,842.56, 7,263 and 1,379 is: 2,068.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.56 : 7,263 = 1,379 : x
  2. Step 2: Convert to fraction form
    4,842.56/7,263 = 1,379/x
  3. Step 3: Cross multiply
    4,842.56x = 7,263 × 1,379
  4. Step 4: Simplify right side
    4,842.56x = 10,015,677
  5. Step 5: Solve for x
    x = 10,015,677/4,842.56
  6. Step 6: Final answer
    x = 2,068.26

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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.