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Finding the Fourth Proportional to 20,657.68, 30,986.16 and 6,806.80

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Solution

The fourth proportional to 20,657.68, 30,986.16 and 6,806.80 is: 10,210.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,657.68 : 30,986.16 = 6,806.80 : x
  2. Step 2: Convert to fraction form
    20,657.68/30,986.16 = 6,806.80/x
  3. Step 3: Cross multiply
    20,657.68x = 30,986.16 × 6,806.80
  4. Step 4: Simplify right side
    20,657.68x = 210,916,593.89
  5. Step 5: Solve for x
    x = 210,916,593.89/20,657.68
  6. Step 6: Final answer
    x = 10,210.08

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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.