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Finding the Fourth Proportional to 2,176.25, 3,265.61 and 878.63

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Solution

The fourth proportional to 2,176.25, 3,265.61 and 878.63 is: 1,318.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.25 : 3,265.61 = 878.63 : x
  2. Step 2: Convert to fraction form
    2,176.25/3,265.61 = 878.63/x
  3. Step 3: Cross multiply
    2,176.25x = 3,265.61 × 878.63
  4. Step 4: Simplify right side
    2,176.25x = 2,869,242.19
  5. Step 5: Solve for x
    x = 2,869,242.19/2,176.25
  6. Step 6: Final answer
    x = 1,318.44

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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.