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Finding the Fourth Proportional to 11,966.66, 16,510.11 and 6,660.44

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Solution

The fourth proportional to 11,966.66, 16,510.11 and 6,660.44 is: 9,189.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,966.66 : 16,510.11 = 6,660.44 : x
  2. Step 2: Convert to fraction form
    11,966.66/16,510.11 = 6,660.44/x
  3. Step 3: Cross multiply
    11,966.66x = 16,510.11 × 6,660.44
  4. Step 4: Simplify right side
    11,966.66x = 109,964,597.05
  5. Step 5: Solve for x
    x = 109,964,597.05/11,966.66
  6. Step 6: Final answer
    x = 9,189.25

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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.