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Finding the Fourth Proportional to 20,874.80, 31,312.20 and 7,033.52

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Solution

The fourth proportional to 20,874.80, 31,312.20 and 7,033.52 is: 10,550.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,874.80 : 31,312.20 = 7,033.52 : x
  2. Step 2: Convert to fraction form
    20,874.80/31,312.20 = 7,033.52/x
  3. Step 3: Cross multiply
    20,874.80x = 31,312.20 × 7,033.52
  4. Step 4: Simplify right side
    20,874.80x = 220,234,984.94
  5. Step 5: Solve for x
    x = 220,234,984.94/20,874.80
  6. Step 6: Final answer
    x = 10,550.28

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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.