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Finding the Fourth Proportional to 3,769.76, 5,657.08 and 1,580.34

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Solution

The fourth proportional to 3,769.76, 5,657.08 and 1,580.34 is: 2,371.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.76 : 5,657.08 = 1,580.34 : x
  2. Step 2: Convert to fraction form
    3,769.76/5,657.08 = 1,580.34/x
  3. Step 3: Cross multiply
    3,769.76x = 5,657.08 × 1,580.34
  4. Step 4: Simplify right side
    3,769.76x = 8,940,109.81
  5. Step 5: Solve for x
    x = 8,940,109.81/3,769.76
  6. Step 6: Final answer
    x = 2,371.53

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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.