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Finding the Fourth Proportional to 7,841, 10,821.08 and 4,529

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Solution

The fourth proportional to 7,841, 10,821.08 and 4,529 is: 6,250.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841 : 10,821.08 = 4,529 : x
  2. Step 2: Convert to fraction form
    7,841/10,821.08 = 4,529/x
  3. Step 3: Cross multiply
    7,841x = 10,821.08 × 4,529
  4. Step 4: Simplify right side
    7,841x = 49,008,671.32
  5. Step 5: Solve for x
    x = 49,008,671.32/7,841
  6. Step 6: Final answer
    x = 6,250.31

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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.