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Finding the Fourth Proportional to 2,602.92, 3,904.86 and 872.04

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Solution

The fourth proportional to 2,602.92, 3,904.86 and 872.04 is: 1,308.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.92 : 3,904.86 = 872.04 : x
  2. Step 2: Convert to fraction form
    2,602.92/3,904.86 = 872.04/x
  3. Step 3: Cross multiply
    2,602.92x = 3,904.86 × 872.04
  4. Step 4: Simplify right side
    2,602.92x = 3,405,194.11
  5. Step 5: Solve for x
    x = 3,405,194.11/2,602.92
  6. Step 6: Final answer
    x = 1,308.22

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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.