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Finding the Fourth Proportional to 20,047.76, 30,070.74 and 6,900.20

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Solution

The fourth proportional to 20,047.76, 30,070.74 and 6,900.20 is: 10,349.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,047.76 : 30,070.74 = 6,900.20 : x
  2. Step 2: Convert to fraction form
    20,047.76/30,070.74 = 6,900.20/x
  3. Step 3: Cross multiply
    20,047.76x = 30,070.74 × 6,900.20
  4. Step 4: Simplify right side
    20,047.76x = 207,494,120.15
  5. Step 5: Solve for x
    x = 207,494,120.15/20,047.76
  6. Step 6: Final answer
    x = 10,349.99

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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.