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Finding the Fourth Proportional to 2,165.81, 3,246.89 and 866.57

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Solution

The fourth proportional to 2,165.81, 3,246.89 and 866.57 is: 1,299.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.81 : 3,246.89 = 866.57 : x
  2. Step 2: Convert to fraction form
    2,165.81/3,246.89 = 866.57/x
  3. Step 3: Cross multiply
    2,165.81x = 3,246.89 × 866.57
  4. Step 4: Simplify right side
    2,165.81x = 2,813,657.47
  5. Step 5: Solve for x
    x = 2,813,657.47/2,165.81
  6. Step 6: Final answer
    x = 1,299.12

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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.