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Finding the Fourth Proportional to 7,814.50, 11,713.50 and 2,880.98

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Solution

The fourth proportional to 7,814.50, 11,713.50 and 2,880.98 is: 4,318.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.50 : 11,713.50 = 2,880.98 : x
  2. Step 2: Convert to fraction form
    7,814.50/11,713.50 = 2,880.98/x
  3. Step 3: Cross multiply
    7,814.50x = 11,713.50 × 2,880.98
  4. Step 4: Simplify right side
    7,814.50x = 33,746,359.23
  5. Step 5: Solve for x
    x = 33,746,359.23/7,814.50
  6. Step 6: Final answer
    x = 4,318.43

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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.