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Finding the Fourth Proportional to 11,800.71, 16,286.54 and 7,085.30

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Solution

The fourth proportional to 11,800.71, 16,286.54 and 7,085.30 is: 9,778.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.71 : 16,286.54 = 7,085.30 : x
  2. Step 2: Convert to fraction form
    11,800.71/16,286.54 = 7,085.30/x
  3. Step 3: Cross multiply
    11,800.71x = 16,286.54 × 7,085.30
  4. Step 4: Simplify right side
    11,800.71x = 115,394,905.00
  5. Step 5: Solve for x
    x = 115,394,905.00/11,800.71
  6. Step 6: Final answer
    x = 9,778.64

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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.