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Finding the Fourth Proportional to 2,195.61, 3,293.43 and 809.00

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Solution

The fourth proportional to 2,195.61, 3,293.43 and 809.00 is: 1,213.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.61 : 3,293.43 = 809.00 : x
  2. Step 2: Convert to fraction form
    2,195.61/3,293.43 = 809.00/x
  3. Step 3: Cross multiply
    2,195.61x = 3,293.43 × 809.00
  4. Step 4: Simplify right side
    2,195.61x = 2,664,368.40
  5. Step 5: Solve for x
    x = 2,664,368.40/2,195.61
  6. Step 6: Final answer
    x = 1,213.50

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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.