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Finding the Fourth Proportional to 9,000.20, 13,493.90 and 3,451.40

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Solution

The fourth proportional to 9,000.20, 13,493.90 and 3,451.40 is: 5,174.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,000.20 : 13,493.90 = 3,451.40 : x
  2. Step 2: Convert to fraction form
    9,000.20/13,493.90 = 3,451.40/x
  3. Step 3: Cross multiply
    9,000.20x = 13,493.90 × 3,451.40
  4. Step 4: Simplify right side
    9,000.20x = 46,572,846.46
  5. Step 5: Solve for x
    x = 46,572,846.46/9,000.20
  6. Step 6: Final answer
    x = 5,174.65

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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.