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Finding the Fourth Proportional to 3,663.84, 5,494.32 and 1,931.36

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Solution

The fourth proportional to 3,663.84, 5,494.32 and 1,931.36 is: 2,896.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.84 : 5,494.32 = 1,931.36 : x
  2. Step 2: Convert to fraction form
    3,663.84/5,494.32 = 1,931.36/x
  3. Step 3: Cross multiply
    3,663.84x = 5,494.32 × 1,931.36
  4. Step 4: Simplify right side
    3,663.84x = 10,611,509.88
  5. Step 5: Solve for x
    x = 10,611,509.88/3,663.84
  6. Step 6: Final answer
    x = 2,896.28

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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.