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Finding the Fourth Proportional to 3,709.78, 5,564.52 and 936.40

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Solution

The fourth proportional to 3,709.78, 5,564.52 and 936.40 is: 1,404.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.78 : 5,564.52 = 936.40 : x
  2. Step 2: Convert to fraction form
    3,709.78/5,564.52 = 936.40/x
  3. Step 3: Cross multiply
    3,709.78x = 5,564.52 × 936.40
  4. Step 4: Simplify right side
    3,709.78x = 5,210,616.53
  5. Step 5: Solve for x
    x = 5,210,616.53/3,709.78
  6. Step 6: Final answer
    x = 1,404.56

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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.