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Finding the Fourth Proportional to 11,871.68, 16,384.12 and 6,836.12

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Solution

The fourth proportional to 11,871.68, 16,384.12 and 6,836.12 is: 9,434.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871.68 : 16,384.12 = 6,836.12 : x
  2. Step 2: Convert to fraction form
    11,871.68/16,384.12 = 6,836.12/x
  3. Step 3: Cross multiply
    11,871.68x = 16,384.12 × 6,836.12
  4. Step 4: Simplify right side
    11,871.68x = 112,003,810.41
  5. Step 5: Solve for x
    x = 112,003,810.41/11,871.68
  6. Step 6: Final answer
    x = 9,434.54

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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.