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Finding the Fourth Proportional to 20,506.31, 30,747.31 and 9,257.03

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Solution

The fourth proportional to 20,506.31, 30,747.31 and 9,257.03 is: 13,880.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,506.31 : 30,747.31 = 9,257.03 : x
  2. Step 2: Convert to fraction form
    20,506.31/30,747.31 = 9,257.03/x
  3. Step 3: Cross multiply
    20,506.31x = 30,747.31 × 9,257.03
  4. Step 4: Simplify right side
    20,506.31x = 284,628,594.21
  5. Step 5: Solve for x
    x = 284,628,594.21/20,506.31
  6. Step 6: Final answer
    x = 13,880.05

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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.