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Finding the Fourth Proportional to 20,825.84, 31,238.80 and 6,974.84

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Solution

The fourth proportional to 20,825.84, 31,238.80 and 6,974.84 is: 10,462.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,825.84 : 31,238.80 = 6,974.84 : x
  2. Step 2: Convert to fraction form
    20,825.84/31,238.80 = 6,974.84/x
  3. Step 3: Cross multiply
    20,825.84x = 31,238.80 × 6,974.84
  4. Step 4: Simplify right side
    20,825.84x = 217,885,692.45
  5. Step 5: Solve for x
    x = 217,885,692.45/20,825.84
  6. Step 6: Final answer
    x = 10,462.28

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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.