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Finding the Fourth Proportional to 20,646.54, 30,969.81 and 8,959.50

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Solution

The fourth proportional to 20,646.54, 30,969.81 and 8,959.50 is: 13,439.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,646.54 : 30,969.81 = 8,959.50 : x
  2. Step 2: Convert to fraction form
    20,646.54/30,969.81 = 8,959.50/x
  3. Step 3: Cross multiply
    20,646.54x = 30,969.81 × 8,959.50
  4. Step 4: Simplify right side
    20,646.54x = 277,474,012.70
  5. Step 5: Solve for x
    x = 277,474,012.70/20,646.54
  6. Step 6: Final answer
    x = 13,439.25

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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.