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Finding the Fourth Proportional to 2,164.78, 3,246.90 and 866.26

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Solution

The fourth proportional to 2,164.78, 3,246.90 and 866.26 is: 1,299.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.78 : 3,246.90 = 866.26 : x
  2. Step 2: Convert to fraction form
    2,164.78/3,246.90 = 866.26/x
  3. Step 3: Cross multiply
    2,164.78x = 3,246.90 × 866.26
  4. Step 4: Simplify right side
    2,164.78x = 2,812,659.59
  5. Step 5: Solve for x
    x = 2,812,659.59/2,164.78
  6. Step 6: Final answer
    x = 1,299.28

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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.