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Finding the Fourth Proportional to 6,731.73, 9,289.32 and 4,213.73

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Solution

The fourth proportional to 6,731.73, 9,289.32 and 4,213.73 is: 5,814.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,731.73 : 9,289.32 = 4,213.73 : x
  2. Step 2: Convert to fraction form
    6,731.73/9,289.32 = 4,213.73/x
  3. Step 3: Cross multiply
    6,731.73x = 9,289.32 × 4,213.73
  4. Step 4: Simplify right side
    6,731.73x = 39,142,686.36
  5. Step 5: Solve for x
    x = 39,142,686.36/6,731.73
  6. Step 6: Final answer
    x = 5,814.65

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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.