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Finding the Fourth Proportional to 14,770, 20,382.78 and 8,482.96

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Solution

The fourth proportional to 14,770, 20,382.78 and 8,482.96 is: 11,706.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,770 : 20,382.78 = 8,482.96 : x
  2. Step 2: Convert to fraction form
    14,770/20,382.78 = 8,482.96/x
  3. Step 3: Cross multiply
    14,770x = 20,382.78 × 8,482.96
  4. Step 4: Simplify right side
    14,770x = 172,906,307.43
  5. Step 5: Solve for x
    x = 172,906,307.43/14,770
  6. Step 6: Final answer
    x = 11,706.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.