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Finding the Fourth Proportional to 11,707.50, 16,164.09 and 7,237.80

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Solution

The fourth proportional to 11,707.50, 16,164.09 and 7,237.80 is: 9,992.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,707.50 : 16,164.09 = 7,237.80 : x
  2. Step 2: Convert to fraction form
    11,707.50/16,164.09 = 7,237.80/x
  3. Step 3: Cross multiply
    11,707.50x = 16,164.09 × 7,237.80
  4. Step 4: Simplify right side
    11,707.50x = 116,992,450.60
  5. Step 5: Solve for x
    x = 116,992,450.60/11,707.50
  6. Step 6: Final answer
    x = 9,992.95

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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.