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Finding the Fourth Proportional to 11,891.84, 16,410.87 and 6,586.74

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Solution

The fourth proportional to 11,891.84, 16,410.87 and 6,586.74 is: 9,089.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,891.84 : 16,410.87 = 6,586.74 : x
  2. Step 2: Convert to fraction form
    11,891.84/16,410.87 = 6,586.74/x
  3. Step 3: Cross multiply
    11,891.84x = 16,410.87 × 6,586.74
  4. Step 4: Simplify right side
    11,891.84x = 108,094,133.86
  5. Step 5: Solve for x
    x = 108,094,133.86/11,891.84
  6. Step 6: Final answer
    x = 9,089.78

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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.