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Finding the Fourth Proportional to 7,315.56, 10,973.82 and 2,121

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Solution

The fourth proportional to 7,315.56, 10,973.82 and 2,121 is: 3,181.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,315.56 : 10,973.82 = 2,121 : x
  2. Step 2: Convert to fraction form
    7,315.56/10,973.82 = 2,121/x
  3. Step 3: Cross multiply
    7,315.56x = 10,973.82 × 2,121
  4. Step 4: Simplify right side
    7,315.56x = 23,275,472.22
  5. Step 5: Solve for x
    x = 23,275,472.22/7,315.56
  6. Step 6: Final answer
    x = 3,181.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.