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Finding the Fourth Proportional to 6,586.56, 9,879.88 and 2,691.36

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Solution

The fourth proportional to 6,586.56, 9,879.88 and 2,691.36 is: 4,037.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.56 : 9,879.88 = 2,691.36 : x
  2. Step 2: Convert to fraction form
    6,586.56/9,879.88 = 2,691.36/x
  3. Step 3: Cross multiply
    6,586.56x = 9,879.88 × 2,691.36
  4. Step 4: Simplify right side
    6,586.56x = 26,590,313.84
  5. Step 5: Solve for x
    x = 26,590,313.84/6,586.56
  6. Step 6: Final answer
    x = 4,037.06

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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.