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Finding the Fourth Proportional to 6,726, 9,282.60 and 4,709.76

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Solution

The fourth proportional to 6,726, 9,282.60 and 4,709.76 is: 6,499.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,726 : 9,282.60 = 4,709.76 : x
  2. Step 2: Convert to fraction form
    6,726/9,282.60 = 4,709.76/x
  3. Step 3: Cross multiply
    6,726x = 9,282.60 × 4,709.76
  4. Step 4: Simplify right side
    6,726x = 43,718,818.18
  5. Step 5: Solve for x
    x = 43,718,818.18/6,726
  6. Step 6: Final answer
    x = 6,499.97

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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.