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Finding the Fourth Proportional to 20,751.50, 31,127.52 and 6,900.50

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Solution

The fourth proportional to 20,751.50, 31,127.52 and 6,900.50 is: 10,350.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,751.50 : 31,127.52 = 6,900.50 : x
  2. Step 2: Convert to fraction form
    20,751.50/31,127.52 = 6,900.50/x
  3. Step 3: Cross multiply
    20,751.50x = 31,127.52 × 6,900.50
  4. Step 4: Simplify right side
    20,751.50x = 214,795,451.76
  5. Step 5: Solve for x
    x = 214,795,451.76/20,751.50
  6. Step 6: Final answer
    x = 10,350.84

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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.