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Finding the Fourth Proportional to 20,297.32, 30,448.40 and 8,609

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Solution

The fourth proportional to 20,297.32, 30,448.40 and 8,609 is: 12,914.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,297.32 : 30,448.40 = 8,609 : x
  2. Step 2: Convert to fraction form
    20,297.32/30,448.40 = 8,609/x
  3. Step 3: Cross multiply
    20,297.32x = 30,448.40 × 8,609
  4. Step 4: Simplify right side
    20,297.32x = 262,130,275.60
  5. Step 5: Solve for x
    x = 262,130,275.60/20,297.32
  6. Step 6: Final answer
    x = 12,914.53

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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.