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Finding the Fourth Proportional to 7,536.70, 10,400.75 and 4,179.57

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Solution

The fourth proportional to 7,536.70, 10,400.75 and 4,179.57 is: 5,767.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,536.70 : 10,400.75 = 4,179.57 : x
  2. Step 2: Convert to fraction form
    7,536.70/10,400.75 = 4,179.57/x
  3. Step 3: Cross multiply
    7,536.70x = 10,400.75 × 4,179.57
  4. Step 4: Simplify right side
    7,536.70x = 43,470,662.68
  5. Step 5: Solve for x
    x = 43,470,662.68/7,536.70
  6. Step 6: Final answer
    x = 5,767.86

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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.