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Finding the Fourth Proportional to 2,889.36, 4,333.58 and 809.14

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Solution

The fourth proportional to 2,889.36, 4,333.58 and 809.14 is: 1,213.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.36 : 4,333.58 = 809.14 : x
  2. Step 2: Convert to fraction form
    2,889.36/4,333.58 = 809.14/x
  3. Step 3: Cross multiply
    2,889.36x = 4,333.58 × 809.14
  4. Step 4: Simplify right side
    2,889.36x = 3,506,472.92
  5. Step 5: Solve for x
    x = 3,506,472.92/2,889.36
  6. Step 6: Final answer
    x = 1,213.58

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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.