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Finding the Fourth Proportional to 6,835, 10,251.56 and 2,672.12

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Solution

The fourth proportional to 6,835, 10,251.56 and 2,672.12 is: 4,007.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,835 : 10,251.56 = 2,672.12 : x
  2. Step 2: Convert to fraction form
    6,835/10,251.56 = 2,672.12/x
  3. Step 3: Cross multiply
    6,835x = 10,251.56 × 2,672.12
  4. Step 4: Simplify right side
    6,835x = 27,393,398.51
  5. Step 5: Solve for x
    x = 27,393,398.51/6,835
  6. Step 6: Final answer
    x = 4,007.81

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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.