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Finding the Fourth Proportional to 7,385.84, 11,073.72 and 3,877.84

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Solution

The fourth proportional to 7,385.84, 11,073.72 and 3,877.84 is: 5,814.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,385.84 : 11,073.72 = 3,877.84 : x
  2. Step 2: Convert to fraction form
    7,385.84/11,073.72 = 3,877.84/x
  3. Step 3: Cross multiply
    7,385.84x = 11,073.72 × 3,877.84
  4. Step 4: Simplify right side
    7,385.84x = 42,942,114.36
  5. Step 5: Solve for x
    x = 42,942,114.36/7,385.84
  6. Step 6: Final answer
    x = 5,814.11

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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.