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Finding the Fourth Proportional to 4,000.42, 5,999.41 and 1,402.75

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Solution

The fourth proportional to 4,000.42, 5,999.41 and 1,402.75 is: 2,103.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.42 : 5,999.41 = 1,402.75 : x
  2. Step 2: Convert to fraction form
    4,000.42/5,999.41 = 1,402.75/x
  3. Step 3: Cross multiply
    4,000.42x = 5,999.41 × 1,402.75
  4. Step 4: Simplify right side
    4,000.42x = 8,415,672.38
  5. Step 5: Solve for x
    x = 8,415,672.38/4,000.42
  6. Step 6: Final answer
    x = 2,103.70

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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.