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Finding the Fourth Proportional to 11,777.82, 16,254.93 and 6,742.86

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Solution

The fourth proportional to 11,777.82, 16,254.93 and 6,742.86 is: 9,306.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.82 : 16,254.93 = 6,742.86 : x
  2. Step 2: Convert to fraction form
    11,777.82/16,254.93 = 6,742.86/x
  3. Step 3: Cross multiply
    11,777.82x = 16,254.93 × 6,742.86
  4. Step 4: Simplify right side
    11,777.82x = 109,604,717.30
  5. Step 5: Solve for x
    x = 109,604,717.30/11,777.82
  6. Step 6: Final answer
    x = 9,306.03

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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.