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Finding the Fourth Proportional to 13,296.30, 18,347.89 and 7,328

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Solution

The fourth proportional to 13,296.30, 18,347.89 and 7,328 is: 10,112.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,296.30 : 18,347.89 = 7,328 : x
  2. Step 2: Convert to fraction form
    13,296.30/18,347.89 = 7,328/x
  3. Step 3: Cross multiply
    13,296.30x = 18,347.89 × 7,328
  4. Step 4: Simplify right side
    13,296.30x = 134,453,337.92
  5. Step 5: Solve for x
    x = 134,453,337.92/13,296.30
  6. Step 6: Final answer
    x = 10,112.09

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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.