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Finding the Fourth Proportional to 3,778.61, 5,662.14 and 1,586.14

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Solution

The fourth proportional to 3,778.61, 5,662.14 and 1,586.14 is: 2,376.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.61 : 5,662.14 = 1,586.14 : x
  2. Step 2: Convert to fraction form
    3,778.61/5,662.14 = 1,586.14/x
  3. Step 3: Cross multiply
    3,778.61x = 5,662.14 × 1,586.14
  4. Step 4: Simplify right side
    3,778.61x = 8,980,946.74
  5. Step 5: Solve for x
    x = 8,980,946.74/3,778.61
  6. Step 6: Final answer
    x = 2,376.79

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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.