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Finding the Fourth Proportional to 20,352.85, 30,509.08 and 9,660.47

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Solution

The fourth proportional to 20,352.85, 30,509.08 and 9,660.47 is: 14,481.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,352.85 : 30,509.08 = 9,660.47 : x
  2. Step 2: Convert to fraction form
    20,352.85/30,509.08 = 9,660.47/x
  3. Step 3: Cross multiply
    20,352.85x = 30,509.08 × 9,660.47
  4. Step 4: Simplify right side
    20,352.85x = 294,732,161.57
  5. Step 5: Solve for x
    x = 294,732,161.57/20,352.85
  6. Step 6: Final answer
    x = 14,481.12

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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.