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Finding the Fourth Proportional to 31,219.80, 46,829.70 and 20,722.20

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Solution

The fourth proportional to 31,219.80, 46,829.70 and 20,722.20 is: 31,083.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,219.80 : 46,829.70 = 20,722.20 : x
  2. Step 2: Convert to fraction form
    31,219.80/46,829.70 = 20,722.20/x
  3. Step 3: Cross multiply
    31,219.80x = 46,829.70 × 20,722.20
  4. Step 4: Simplify right side
    31,219.80x = 970,414,409.34
  5. Step 5: Solve for x
    x = 970,414,409.34/31,219.80
  6. Step 6: Final answer
    x = 31,083.30

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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.