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Finding the Fourth Proportional to 13,709.71, 20,573.02 and 5,388.26

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Solution

The fourth proportional to 13,709.71, 20,573.02 and 5,388.26 is: 8,085.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709.71 : 20,573.02 = 5,388.26 : x
  2. Step 2: Convert to fraction form
    13,709.71/20,573.02 = 5,388.26/x
  3. Step 3: Cross multiply
    13,709.71x = 20,573.02 × 5,388.26
  4. Step 4: Simplify right side
    13,709.71x = 110,852,780.75
  5. Step 5: Solve for x
    x = 110,852,780.75/13,709.71
  6. Step 6: Final answer
    x = 8,085.72

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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.