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Finding the Fourth Proportional to 11,178, 16,774.90 and 4,252.50

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Solution

The fourth proportional to 11,178, 16,774.90 and 4,252.50 is: 6,381.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,178 : 16,774.90 = 4,252.50 : x
  2. Step 2: Convert to fraction form
    11,178/16,774.90 = 4,252.50/x
  3. Step 3: Cross multiply
    11,178x = 16,774.90 × 4,252.50
  4. Step 4: Simplify right side
    11,178x = 71,335,251.62
  5. Step 5: Solve for x
    x = 71,335,251.62/11,178
  6. Step 6: Final answer
    x = 6,381.75

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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.