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Finding the Fourth Proportional to 11,811.12, 16,298.94 and 6,505.92

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Solution

The fourth proportional to 11,811.12, 16,298.94 and 6,505.92 is: 8,977.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.12 : 16,298.94 = 6,505.92 : x
  2. Step 2: Convert to fraction form
    11,811.12/16,298.94 = 6,505.92/x
  3. Step 3: Cross multiply
    11,811.12x = 16,298.94 × 6,505.92
  4. Step 4: Simplify right side
    11,811.12x = 106,039,599.72
  5. Step 5: Solve for x
    x = 106,039,599.72/11,811.12
  6. Step 6: Final answer
    x = 8,977.95

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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.