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Finding the Fourth Proportional to 6,764.48, 10,144.48 and 4,159.68

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Solution

The fourth proportional to 6,764.48, 10,144.48 and 4,159.68 is: 6,238.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,764.48 : 10,144.48 = 4,159.68 : x
  2. Step 2: Convert to fraction form
    6,764.48/10,144.48 = 4,159.68/x
  3. Step 3: Cross multiply
    6,764.48x = 10,144.48 × 4,159.68
  4. Step 4: Simplify right side
    6,764.48x = 42,197,790.57
  5. Step 5: Solve for x
    x = 42,197,790.57/6,764.48
  6. Step 6: Final answer
    x = 6,238.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.