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Finding the Fourth Proportional to 10,777.76, 16,170.03 and 6,853.49

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Solution

The fourth proportional to 10,777.76, 16,170.03 and 6,853.49 is: 10,282.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,777.76 : 16,170.03 = 6,853.49 : x
  2. Step 2: Convert to fraction form
    10,777.76/16,170.03 = 6,853.49/x
  3. Step 3: Cross multiply
    10,777.76x = 16,170.03 × 6,853.49
  4. Step 4: Simplify right side
    10,777.76x = 110,821,058.05
  5. Step 5: Solve for x
    x = 110,821,058.05/10,777.76
  6. Step 6: Final answer
    x = 10,282.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.