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Finding the Fourth Proportional to 18,678.96, 25,776.90 and 10,295.46

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Solution

The fourth proportional to 18,678.96, 25,776.90 and 10,295.46 is: 14,207.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,678.96 : 25,776.90 = 10,295.46 : x
  2. Step 2: Convert to fraction form
    18,678.96/25,776.90 = 10,295.46/x
  3. Step 3: Cross multiply
    18,678.96x = 25,776.90 × 10,295.46
  4. Step 4: Simplify right side
    18,678.96x = 265,385,042.87
  5. Step 5: Solve for x
    x = 265,385,042.87/18,678.96
  6. Step 6: Final answer
    x = 14,207.70

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