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Finding the Fourth Proportional to 7,750.38, 10,695.50 and 4,213.60

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Solution

The fourth proportional to 7,750.38, 10,695.50 and 4,213.60 is: 5,814.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.38 : 10,695.50 = 4,213.60 : x
  2. Step 2: Convert to fraction form
    7,750.38/10,695.50 = 4,213.60/x
  3. Step 3: Cross multiply
    7,750.38x = 10,695.50 × 4,213.60
  4. Step 4: Simplify right side
    7,750.38x = 45,066,558.80
  5. Step 5: Solve for x
    x = 45,066,558.80/7,750.38
  6. Step 6: Final answer
    x = 5,814.75

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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.