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Finding the Fourth Proportional to 13,393, 20,089.50 and 5,185

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Solution

The fourth proportional to 13,393, 20,089.50 and 5,185 is: 7,777.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,393 : 20,089.50 = 5,185 : x
  2. Step 2: Convert to fraction form
    13,393/20,089.50 = 5,185/x
  3. Step 3: Cross multiply
    13,393x = 20,089.50 × 5,185
  4. Step 4: Simplify right side
    13,393x = 104,164,057.50
  5. Step 5: Solve for x
    x = 104,164,057.50/13,393
  6. Step 6: Final answer
    x = 7,777.50

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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.