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Finding the Fourth Proportional to 6,767.81, 9,339.54 and 3,783.63

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Solution

The fourth proportional to 6,767.81, 9,339.54 and 3,783.63 is: 5,221.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,767.81 : 9,339.54 = 3,783.63 : x
  2. Step 2: Convert to fraction form
    6,767.81/9,339.54 = 3,783.63/x
  3. Step 3: Cross multiply
    6,767.81x = 9,339.54 × 3,783.63
  4. Step 4: Simplify right side
    6,767.81x = 35,337,344.81
  5. Step 5: Solve for x
    x = 35,337,344.81/6,767.81
  6. Step 6: Final answer
    x = 5,221.39

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Half scale
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Double scale
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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.