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Finding the Fourth Proportional to 20,506.40, 30,769.20 and 10,656.80

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Solution

The fourth proportional to 20,506.40, 30,769.20 and 10,656.80 is: 15,990.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,506.40 : 30,769.20 = 10,656.80 : x
  2. Step 2: Convert to fraction form
    20,506.40/30,769.20 = 10,656.80/x
  3. Step 3: Cross multiply
    20,506.40x = 30,769.20 × 10,656.80
  4. Step 4: Simplify right side
    20,506.40x = 327,901,210.56
  5. Step 5: Solve for x
    x = 327,901,210.56/20,506.40
  6. Step 6: Final answer
    x = 15,990.19

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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.