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Finding the Fourth Proportional to 11,977.92, 16,525.08 and 8,444.16

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Solution

The fourth proportional to 11,977.92, 16,525.08 and 8,444.16 is: 11,649.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,977.92 : 16,525.08 = 8,444.16 : x
  2. Step 2: Convert to fraction form
    11,977.92/16,525.08 = 8,444.16/x
  3. Step 3: Cross multiply
    11,977.92x = 16,525.08 × 8,444.16
  4. Step 4: Simplify right side
    11,977.92x = 139,540,419.53
  5. Step 5: Solve for x
    x = 139,540,419.53/11,977.92
  6. Step 6: Final answer
    x = 11,649.80

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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.