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Finding the Fourth Proportional to 20,477.68, 30,725.16 and 10,089.52

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Solution

The fourth proportional to 20,477.68, 30,725.16 and 10,089.52 is: 15,138.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,477.68 : 30,725.16 = 10,089.52 : x
  2. Step 2: Convert to fraction form
    20,477.68/30,725.16 = 10,089.52/x
  3. Step 3: Cross multiply
    20,477.68x = 30,725.16 × 10,089.52
  4. Step 4: Simplify right side
    20,477.68x = 310,002,116.32
  5. Step 5: Solve for x
    x = 310,002,116.32/20,477.68
  6. Step 6: Final answer
    x = 15,138.54

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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.