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Finding the Fourth Proportional to 7,899.99, 11,847.42 and 4,200.10

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Solution

The fourth proportional to 7,899.99, 11,847.42 and 4,200.10 is: 6,298.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,899.99 : 11,847.42 = 4,200.10 : x
  2. Step 2: Convert to fraction form
    7,899.99/11,847.42 = 4,200.10/x
  3. Step 3: Cross multiply
    7,899.99x = 11,847.42 × 4,200.10
  4. Step 4: Simplify right side
    7,899.99x = 49,760,348.74
  5. Step 5: Solve for x
    x = 49,760,348.74/7,899.99
  6. Step 6: Final answer
    x = 6,298.79

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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.