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Finding the Fourth Proportional to 5,581, 7,701.78 and 3,097

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Solution

The fourth proportional to 5,581, 7,701.78 and 3,097 is: 4,273.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,581 : 7,701.78 = 3,097 : x
  2. Step 2: Convert to fraction form
    5,581/7,701.78 = 3,097/x
  3. Step 3: Cross multiply
    5,581x = 7,701.78 × 3,097
  4. Step 4: Simplify right side
    5,581x = 23,852,412.66
  5. Step 5: Solve for x
    x = 23,852,412.66/5,581
  6. Step 6: Final answer
    x = 4,273.86

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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.