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Finding the Fourth Proportional to 4,000.75, 6,002.10 and 1,264.75

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Solution

The fourth proportional to 4,000.75, 6,002.10 and 1,264.75 is: 1,897.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.75 : 6,002.10 = 1,264.75 : x
  2. Step 2: Convert to fraction form
    4,000.75/6,002.10 = 1,264.75/x
  3. Step 3: Cross multiply
    4,000.75x = 6,002.10 × 1,264.75
  4. Step 4: Simplify right side
    4,000.75x = 7,591,155.98
  5. Step 5: Solve for x
    x = 7,591,155.98/4,000.75
  6. Step 6: Final answer
    x = 1,897.43

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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.