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Finding the Fourth Proportional to 5,580.50, 7,701.09 and 3,096.50

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Solution

The fourth proportional to 5,580.50, 7,701.09 and 3,096.50 is: 4,273.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,580.50 : 7,701.09 = 3,096.50 : x
  2. Step 2: Convert to fraction form
    5,580.50/7,701.09 = 3,096.50/x
  3. Step 3: Cross multiply
    5,580.50x = 7,701.09 × 3,096.50
  4. Step 4: Simplify right side
    5,580.50x = 23,846,425.19
  5. Step 5: Solve for x
    x = 23,846,425.19/5,580.50
  6. Step 6: Final answer
    x = 4,273.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.