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Finding the Fourth Proportional to 13,296, 18,348.48 and 7,710.24

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Solution

The fourth proportional to 13,296, 18,348.48 and 7,710.24 is: 10,640.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,296 : 18,348.48 = 7,710.24 : x
  2. Step 2: Convert to fraction form
    13,296/18,348.48 = 7,710.24/x
  3. Step 3: Cross multiply
    13,296x = 18,348.48 × 7,710.24
  4. Step 4: Simplify right side
    13,296x = 141,471,184.44
  5. Step 5: Solve for x
    x = 141,471,184.44/13,296
  6. Step 6: Final answer
    x = 10,640.13

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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.