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Finding the Fourth Proportional to 7,314, 10,971.12 and 2,120.40

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Solution

The fourth proportional to 7,314, 10,971.12 and 2,120.40 is: 3,180.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,314 : 10,971.12 = 2,120.40 : x
  2. Step 2: Convert to fraction form
    7,314/10,971.12 = 2,120.40/x
  3. Step 3: Cross multiply
    7,314x = 10,971.12 × 2,120.40
  4. Step 4: Simplify right side
    7,314x = 23,263,162.85
  5. Step 5: Solve for x
    x = 23,263,162.85/7,314
  6. Step 6: Final answer
    x = 3,180.63

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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.