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Finding the Fourth Proportional to 20,652.68, 30,977.12 and 6,801.68

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Solution

The fourth proportional to 20,652.68, 30,977.12 and 6,801.68 is: 10,201.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,652.68 : 30,977.12 = 6,801.68 : x
  2. Step 2: Convert to fraction form
    20,652.68/30,977.12 = 6,801.68/x
  3. Step 3: Cross multiply
    20,652.68x = 30,977.12 × 6,801.68
  4. Step 4: Simplify right side
    20,652.68x = 210,696,457.56
  5. Step 5: Solve for x
    x = 210,696,457.56/20,652.68
  6. Step 6: Final answer
    x = 10,201.89

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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.