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Finding the Fourth Proportional to 4,826.63, 7,239.34 and 1,539.79

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Solution

The fourth proportional to 4,826.63, 7,239.34 and 1,539.79 is: 2,309.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,826.63 : 7,239.34 = 1,539.79 : x
  2. Step 2: Convert to fraction form
    4,826.63/7,239.34 = 1,539.79/x
  3. Step 3: Cross multiply
    4,826.63x = 7,239.34 × 1,539.79
  4. Step 4: Simplify right side
    4,826.63x = 11,147,063.34
  5. Step 5: Solve for x
    x = 11,147,063.34/4,826.63
  6. Step 6: Final answer
    x = 2,309.49

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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.