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Finding the Fourth Proportional to 8,326, 11,490.72 and 4,600

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Solution

The fourth proportional to 8,326, 11,490.72 and 4,600 is: 6,348.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,326 : 11,490.72 = 4,600 : x
  2. Step 2: Convert to fraction form
    8,326/11,490.72 = 4,600/x
  3. Step 3: Cross multiply
    8,326x = 11,490.72 × 4,600
  4. Step 4: Simplify right side
    8,326x = 52,857,312
  5. Step 5: Solve for x
    x = 52,857,312/8,326
  6. Step 6: Final answer
    x = 6,348.46

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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.