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Finding the Fourth Proportional to 7,121, 10,676.36 and 4,347.02

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Solution

The fourth proportional to 7,121, 10,676.36 and 4,347.02 is: 6,517.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,121 : 10,676.36 = 4,347.02 : x
  2. Step 2: Convert to fraction form
    7,121/10,676.36 = 4,347.02/x
  3. Step 3: Cross multiply
    7,121x = 10,676.36 × 4,347.02
  4. Step 4: Simplify right side
    7,121x = 46,410,350.45
  5. Step 5: Solve for x
    x = 46,410,350.45/7,121
  6. Step 6: Final answer
    x = 6,517.39

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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.