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Finding the Fourth Proportional to 3,602.49, 5,401.89 and 1,653

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Solution

The fourth proportional to 3,602.49, 5,401.89 and 1,653 is: 2,478.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.49 : 5,401.89 = 1,653 : x
  2. Step 2: Convert to fraction form
    3,602.49/5,401.89 = 1,653/x
  3. Step 3: Cross multiply
    3,602.49x = 5,401.89 × 1,653
  4. Step 4: Simplify right side
    3,602.49x = 8,929,324.17
  5. Step 5: Solve for x
    x = 8,929,324.17/3,602.49
  6. Step 6: Final answer
    x = 2,478.65

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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.