Home / 20,974-31,446.40-7,822.84

Finding the Fourth Proportional to 20,974, 31,446.40 and 7,822.84

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Solution

The fourth proportional to 20,974, 31,446.40 and 7,822.84 is: 11,728.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,974 : 31,446.40 = 7,822.84 : x
  2. Step 2: Convert to fraction form
    20,974/31,446.40 = 7,822.84/x
  3. Step 3: Cross multiply
    20,974x = 31,446.40 × 7,822.84
  4. Step 4: Simplify right side
    20,974x = 246,000,155.78
  5. Step 5: Solve for x
    x = 246,000,155.78/20,974
  6. Step 6: Final answer
    x = 11,728.81

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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.