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Finding the Fourth Proportional to 4,000.12, 6,000.30 and 1,403.80

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Solution

The fourth proportional to 4,000.12, 6,000.30 and 1,403.80 is: 2,105.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.12 : 6,000.30 = 1,403.80 : x
  2. Step 2: Convert to fraction form
    4,000.12/6,000.30 = 1,403.80/x
  3. Step 3: Cross multiply
    4,000.12x = 6,000.30 × 1,403.80
  4. Step 4: Simplify right side
    4,000.12x = 8,423,221.14
  5. Step 5: Solve for x
    x = 8,423,221.14/4,000.12
  6. Step 6: Final answer
    x = 2,105.74

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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.