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Finding the Fourth Proportional to 23,800.14, 35,675.10 and 7,990.20

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Solution

The fourth proportional to 23,800.14, 35,675.10 and 7,990.20 is: 11,976.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,800.14 : 35,675.10 = 7,990.20 : x
  2. Step 2: Convert to fraction form
    23,800.14/35,675.10 = 7,990.20/x
  3. Step 3: Cross multiply
    23,800.14x = 35,675.10 × 7,990.20
  4. Step 4: Simplify right side
    23,800.14x = 285,051,184.02
  5. Step 5: Solve for x
    x = 285,051,184.02/23,800.14
  6. Step 6: Final answer
    x = 11,976.87

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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.