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Finding the Fourth Proportional to 6,764.86, 9,329.47 and 4,247.21

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Solution

The fourth proportional to 6,764.86, 9,329.47 and 4,247.21 is: 5,857.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,764.86 : 9,329.47 = 4,247.21 : x
  2. Step 2: Convert to fraction form
    6,764.86/9,329.47 = 4,247.21/x
  3. Step 3: Cross multiply
    6,764.86x = 9,329.47 × 4,247.21
  4. Step 4: Simplify right side
    6,764.86x = 39,624,170.54
  5. Step 5: Solve for x
    x = 39,624,170.54/6,764.86
  6. Step 6: Final answer
    x = 5,857.35

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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.