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Finding the Fourth Proportional to 7,805.07, 11,707.61 and 3,188.07

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Solution

The fourth proportional to 7,805.07, 11,707.61 and 3,188.07 is: 4,782.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.07 : 11,707.61 = 3,188.07 : x
  2. Step 2: Convert to fraction form
    7,805.07/11,707.61 = 3,188.07/x
  3. Step 3: Cross multiply
    7,805.07x = 11,707.61 × 3,188.07
  4. Step 4: Simplify right side
    7,805.07x = 37,324,664.27
  5. Step 5: Solve for x
    x = 37,324,664.27/7,805.07
  6. Step 6: Final answer
    x = 4,782.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.