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Finding the Fourth Proportional to 20,655.68, 30,983.16 and 6,804.80

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Solution

The fourth proportional to 20,655.68, 30,983.16 and 6,804.80 is: 10,207.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,655.68 : 30,983.16 = 6,804.80 : x
  2. Step 2: Convert to fraction form
    20,655.68/30,983.16 = 6,804.80/x
  3. Step 3: Cross multiply
    20,655.68x = 30,983.16 × 6,804.80
  4. Step 4: Simplify right side
    20,655.68x = 210,834,207.17
  5. Step 5: Solve for x
    x = 210,834,207.17/20,655.68
  6. Step 6: Final answer
    x = 10,207.08

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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.