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Finding the Fourth Proportional to 2,516.18, 3,772.90 and 872.59

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Solution

The fourth proportional to 2,516.18, 3,772.90 and 872.59 is: 1,308.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.18 : 3,772.90 = 872.59 : x
  2. Step 2: Convert to fraction form
    2,516.18/3,772.90 = 872.59/x
  3. Step 3: Cross multiply
    2,516.18x = 3,772.90 × 872.59
  4. Step 4: Simplify right side
    2,516.18x = 3,292,194.81
  5. Step 5: Solve for x
    x = 3,292,194.81/2,516.18
  6. Step 6: Final answer
    x = 1,308.41

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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.