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Finding the Fourth Proportional to 9,182.58, 12,672 and 4,990.83

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Solution

The fourth proportional to 9,182.58, 12,672 and 4,990.83 is: 6,887.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.58 : 12,672 = 4,990.83 : x
  2. Step 2: Convert to fraction form
    9,182.58/12,672 = 4,990.83/x
  3. Step 3: Cross multiply
    9,182.58x = 12,672 × 4,990.83
  4. Step 4: Simplify right side
    9,182.58x = 63,243,797.76
  5. Step 5: Solve for x
    x = 63,243,797.76/9,182.58
  6. Step 6: Final answer
    x = 6,887.37

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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.