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Finding the Fourth Proportional to 2,861.98, 4,292.36 and 809.50

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Solution

The fourth proportional to 2,861.98, 4,292.36 and 809.50 is: 1,214.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.98 : 4,292.36 = 809.50 : x
  2. Step 2: Convert to fraction form
    2,861.98/4,292.36 = 809.50/x
  3. Step 3: Cross multiply
    2,861.98x = 4,292.36 × 809.50
  4. Step 4: Simplify right side
    2,861.98x = 3,474,665.42
  5. Step 5: Solve for x
    x = 3,474,665.42/2,861.98
  6. Step 6: Final answer
    x = 1,214.08

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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.