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Finding the Fourth Proportional to 20,321, 28,054.50 and 15,344.36

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Solution

The fourth proportional to 20,321, 28,054.50 and 15,344.36 is: 21,183.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,321 : 28,054.50 = 15,344.36 : x
  2. Step 2: Convert to fraction form
    20,321/28,054.50 = 15,344.36/x
  3. Step 3: Cross multiply
    20,321x = 28,054.50 × 15,344.36
  4. Step 4: Simplify right side
    20,321x = 430,478,347.62
  5. Step 5: Solve for x
    x = 430,478,347.62/20,321
  6. Step 6: Final answer
    x = 21,183.92

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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.