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Finding the Fourth Proportional to 10,771.76, 14,873.64 and 6,996.80

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Solution

The fourth proportional to 10,771.76, 14,873.64 and 6,996.80 is: 9,661.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,771.76 : 14,873.64 = 6,996.80 : x
  2. Step 2: Convert to fraction form
    10,771.76/14,873.64 = 6,996.80/x
  3. Step 3: Cross multiply
    10,771.76x = 14,873.64 × 6,996.80
  4. Step 4: Simplify right side
    10,771.76x = 104,067,884.35
  5. Step 5: Solve for x
    x = 104,067,884.35/10,771.76
  6. Step 6: Final answer
    x = 9,661.18

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1.5x scale

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.