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Finding the Fourth Proportional to 20,609, 30,888.16 and 9,500.28

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Solution

The fourth proportional to 20,609, 30,888.16 and 9,500.28 is: 14,238.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,609 : 30,888.16 = 9,500.28 : x
  2. Step 2: Convert to fraction form
    20,609/30,888.16 = 9,500.28/x
  3. Step 3: Cross multiply
    20,609x = 30,888.16 × 9,500.28
  4. Step 4: Simplify right side
    20,609x = 293,446,168.68
  5. Step 5: Solve for x
    x = 293,446,168.68/20,609
  6. Step 6: Final answer
    x = 14,238.74

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1.5x scale

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.