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Finding the Fourth Proportional to 11,178, 16,772.40 and 4,257.36

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Solution

The fourth proportional to 11,178, 16,772.40 and 4,257.36 is: 6,388.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,178 : 16,772.40 = 4,257.36 : x
  2. Step 2: Convert to fraction form
    11,178/16,772.40 = 4,257.36/x
  3. Step 3: Cross multiply
    11,178x = 16,772.40 × 4,257.36
  4. Step 4: Simplify right side
    11,178x = 71,406,144.86
  5. Step 5: Solve for x
    x = 71,406,144.86/11,178
  6. Step 6: Final answer
    x = 6,388.10

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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.