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Finding the Fourth Proportional to 20,808.49, 31,206.25 and 6,954.25

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Solution

The fourth proportional to 20,808.49, 31,206.25 and 6,954.25 is: 10,429.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,808.49 : 31,206.25 = 6,954.25 : x
  2. Step 2: Convert to fraction form
    20,808.49/31,206.25 = 6,954.25/x
  3. Step 3: Cross multiply
    20,808.49x = 31,206.25 × 6,954.25
  4. Step 4: Simplify right side
    20,808.49x = 217,016,064.06
  5. Step 5: Solve for x
    x = 217,016,064.06/20,808.49
  6. Step 6: Final answer
    x = 10,429.21

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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.