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Finding the Fourth Proportional to 11,859.68, 16,369.79 and 6,827.45

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Solution

The fourth proportional to 11,859.68, 16,369.79 and 6,827.45 is: 9,423.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,859.68 : 16,369.79 = 6,827.45 : x
  2. Step 2: Convert to fraction form
    11,859.68/16,369.79 = 6,827.45/x
  3. Step 3: Cross multiply
    11,859.68x = 16,369.79 × 6,827.45
  4. Step 4: Simplify right side
    11,859.68x = 111,763,806.75
  5. Step 5: Solve for x
    x = 111,763,806.75/11,859.68
  6. Step 6: Final answer
    x = 9,423.85

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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.