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Finding the Fourth Proportional to 7,312.82, 10,968.14 and 2,118.02

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Solution

The fourth proportional to 7,312.82, 10,968.14 and 2,118.02 is: 3,176.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,312.82 : 10,968.14 = 2,118.02 : x
  2. Step 2: Convert to fraction form
    7,312.82/10,968.14 = 2,118.02/x
  3. Step 3: Cross multiply
    7,312.82x = 10,968.14 × 2,118.02
  4. Step 4: Simplify right side
    7,312.82x = 23,230,739.88
  5. Step 5: Solve for x
    x = 23,230,739.88/7,312.82
  6. Step 6: Final answer
    x = 3,176.71

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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.