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Finding the Fourth Proportional to 8,657.36, 11,967.34 and 7,722.42

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Solution

The fourth proportional to 8,657.36, 11,967.34 and 7,722.42 is: 10,674.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657.36 : 11,967.34 = 7,722.42 : x
  2. Step 2: Convert to fraction form
    8,657.36/11,967.34 = 7,722.42/x
  3. Step 3: Cross multiply
    8,657.36x = 11,967.34 × 7,722.42
  4. Step 4: Simplify right side
    8,657.36x = 92,416,828.90
  5. Step 5: Solve for x
    x = 92,416,828.90/8,657.36
  6. Step 6: Final answer
    x = 10,674.94

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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.