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Finding the Fourth Proportional to 13,493, 20,239.50 and 4,259

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Solution

The fourth proportional to 13,493, 20,239.50 and 4,259 is: 6,388.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,493 : 20,239.50 = 4,259 : x
  2. Step 2: Convert to fraction form
    13,493/20,239.50 = 4,259/x
  3. Step 3: Cross multiply
    13,493x = 20,239.50 × 4,259
  4. Step 4: Simplify right side
    13,493x = 86,200,030.50
  5. Step 5: Solve for x
    x = 86,200,030.50/13,493
  6. Step 6: Final answer
    x = 6,388.50

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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.