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Finding the Fourth Proportional to 3,000.17, 4,499.93 and 809.12

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Solution

The fourth proportional to 3,000.17, 4,499.93 and 809.12 is: 1,213.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.17 : 4,499.93 = 809.12 : x
  2. Step 2: Convert to fraction form
    3,000.17/4,499.93 = 809.12/x
  3. Step 3: Cross multiply
    3,000.17x = 4,499.93 × 809.12
  4. Step 4: Simplify right side
    3,000.17x = 3,640,956.82
  5. Step 5: Solve for x
    x = 3,640,956.82/3,000.17
  6. Step 6: Final answer
    x = 1,213.59

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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.