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Finding the Fourth Proportional to 11,178, 16,755.66 and 4,607.82

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Solution

The fourth proportional to 11,178, 16,755.66 and 4,607.82 is: 6,907.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,178 : 16,755.66 = 4,607.82 : x
  2. Step 2: Convert to fraction form
    11,178/16,755.66 = 4,607.82/x
  3. Step 3: Cross multiply
    11,178x = 16,755.66 × 4,607.82
  4. Step 4: Simplify right side
    11,178x = 77,207,065.26
  5. Step 5: Solve for x
    x = 77,207,065.26/11,178
  6. Step 6: Final answer
    x = 6,907.06

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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.