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Finding the Fourth Proportional to 7,317, 10,975.50 and 2,122.92

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Solution

The fourth proportional to 7,317, 10,975.50 and 2,122.92 is: 3,184.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,317 : 10,975.50 = 2,122.92 : x
  2. Step 2: Convert to fraction form
    7,317/10,975.50 = 2,122.92/x
  3. Step 3: Cross multiply
    7,317x = 10,975.50 × 2,122.92
  4. Step 4: Simplify right side
    7,317x = 23,300,108.46
  5. Step 5: Solve for x
    x = 23,300,108.46/7,317
  6. Step 6: Final answer
    x = 3,184.38

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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.