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Finding the Fourth Proportional to 13,129, 19,682.46 and 5,343.40

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Solution

The fourth proportional to 13,129, 19,682.46 and 5,343.40 is: 8,010.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,129 : 19,682.46 = 5,343.40 : x
  2. Step 2: Convert to fraction form
    13,129/19,682.46 = 5,343.40/x
  3. Step 3: Cross multiply
    13,129x = 19,682.46 × 5,343.40
  4. Step 4: Simplify right side
    13,129x = 105,171,256.76
  5. Step 5: Solve for x
    x = 105,171,256.76/13,129
  6. Step 6: Final answer
    x = 8,010.61

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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.