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Finding the Fourth Proportional to 3,602.56, 4,971.78 and 2,205.52

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Solution

The fourth proportional to 3,602.56, 4,971.78 and 2,205.52 is: 3,043.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.56 : 4,971.78 = 2,205.52 : x
  2. Step 2: Convert to fraction form
    3,602.56/4,971.78 = 2,205.52/x
  3. Step 3: Cross multiply
    3,602.56x = 4,971.78 × 2,205.52
  4. Step 4: Simplify right side
    3,602.56x = 10,965,360.23
  5. Step 5: Solve for x
    x = 10,965,360.23/3,602.56
  6. Step 6: Final answer
    x = 3,043.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.