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Finding the Fourth Proportional to 14,893.68, 20,552.48 and 8,178

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Solution

The fourth proportional to 14,893.68, 20,552.48 and 8,178 is: 11,285.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,893.68 : 20,552.48 = 8,178 : x
  2. Step 2: Convert to fraction form
    14,893.68/20,552.48 = 8,178/x
  3. Step 3: Cross multiply
    14,893.68x = 20,552.48 × 8,178
  4. Step 4: Simplify right side
    14,893.68x = 168,078,181.44
  5. Step 5: Solve for x
    x = 168,078,181.44/14,893.68
  6. Step 6: Final answer
    x = 11,285.20

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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.