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Finding the Fourth Proportional to 7,039.60, 9,733.20 and 6,164.80

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Solution

The fourth proportional to 7,039.60, 9,733.20 and 6,164.80 is: 8,523.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,039.60 : 9,733.20 = 6,164.80 : x
  2. Step 2: Convert to fraction form
    7,039.60/9,733.20 = 6,164.80/x
  3. Step 3: Cross multiply
    7,039.60x = 9,733.20 × 6,164.80
  4. Step 4: Simplify right side
    7,039.60x = 60,003,231.36
  5. Step 5: Solve for x
    x = 60,003,231.36/7,039.60
  6. Step 6: Final answer
    x = 8,523.67

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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.