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Finding the Fourth Proportional to 11,777.56, 16,248.38 and 6,739.08

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Solution

The fourth proportional to 11,777.56, 16,248.38 and 6,739.08 is: 9,297.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.56 : 16,248.38 = 6,739.08 : x
  2. Step 2: Convert to fraction form
    11,777.56/16,248.38 = 6,739.08/x
  3. Step 3: Cross multiply
    11,777.56x = 16,248.38 × 6,739.08
  4. Step 4: Simplify right side
    11,777.56x = 109,499,132.69
  5. Step 5: Solve for x
    x = 109,499,132.69/11,777.56
  6. Step 6: Final answer
    x = 9,297.27

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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.