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Finding the Fourth Proportional to 7,750.08, 10,695.08 and 4,213.30

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Solution

The fourth proportional to 7,750.08, 10,695.08 and 4,213.30 is: 5,814.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.08 : 10,695.08 = 4,213.30 : x
  2. Step 2: Convert to fraction form
    7,750.08/10,695.08 = 4,213.30/x
  3. Step 3: Cross multiply
    7,750.08x = 10,695.08 × 4,213.30
  4. Step 4: Simplify right side
    7,750.08x = 45,061,580.56
  5. Step 5: Solve for x
    x = 45,061,580.56/7,750.08
  6. Step 6: Final answer
    x = 5,814.34

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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.