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Finding the Fourth Proportional to 2,206.05, 3,309.27 and 646.05

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Solution

The fourth proportional to 2,206.05, 3,309.27 and 646.05 is: 969.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.05 : 3,309.27 = 646.05 : x
  2. Step 2: Convert to fraction form
    2,206.05/3,309.27 = 646.05/x
  3. Step 3: Cross multiply
    2,206.05x = 3,309.27 × 646.05
  4. Step 4: Simplify right side
    2,206.05x = 2,137,953.88
  5. Step 5: Solve for x
    x = 2,137,953.88/2,206.05
  6. Step 6: Final answer
    x = 969.13

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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.