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Finding the Fourth Proportional to 10,864, 14,994 and 6,674.80

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Solution

The fourth proportional to 10,864, 14,994 and 6,674.80 is: 9,212.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,864 : 14,994 = 6,674.80 : x
  2. Step 2: Convert to fraction form
    10,864/14,994 = 6,674.80/x
  3. Step 3: Cross multiply
    10,864x = 14,994 × 6,674.80
  4. Step 4: Simplify right side
    10,864x = 100,081,951.20
  5. Step 5: Solve for x
    x = 100,081,951.20/10,864
  6. Step 6: Final answer
    x = 9,212.26

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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.