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Finding the Fourth Proportional to 11,811.16, 16,298.80 and 6,505.86

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Solution

The fourth proportional to 11,811.16, 16,298.80 and 6,505.86 is: 8,977.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.16 : 16,298.80 = 6,505.86 : x
  2. Step 2: Convert to fraction form
    11,811.16/16,298.80 = 6,505.86/x
  3. Step 3: Cross multiply
    11,811.16x = 16,298.80 × 6,505.86
  4. Step 4: Simplify right side
    11,811.16x = 106,037,694.70
  5. Step 5: Solve for x
    x = 106,037,694.70/11,811.16
  6. Step 6: Final answer
    x = 8,977.76

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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.