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Finding the Fourth Proportional to 11,871, 16,381.80 and 8,474.28

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Solution

The fourth proportional to 11,871, 16,381.80 and 8,474.28 is: 11,694.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871 : 16,381.80 = 8,474.28 : x
  2. Step 2: Convert to fraction form
    11,871/16,381.80 = 8,474.28/x
  3. Step 3: Cross multiply
    11,871x = 16,381.80 × 8,474.28
  4. Step 4: Simplify right side
    11,871x = 138,823,960.10
  5. Step 5: Solve for x
    x = 138,823,960.10/11,871
  6. Step 6: Final answer
    x = 11,694.38

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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.