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Finding the Fourth Proportional to 3,645, 5,456.16 and 3,528.36

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Solution

The fourth proportional to 3,645, 5,456.16 and 3,528.36 is: 5,281.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645 : 5,456.16 = 3,528.36 : x
  2. Step 2: Convert to fraction form
    3,645/5,456.16 = 3,528.36/x
  3. Step 3: Cross multiply
    3,645x = 5,456.16 × 3,528.36
  4. Step 4: Simplify right side
    3,645x = 19,251,296.70
  5. Step 5: Solve for x
    x = 19,251,296.70/3,645
  6. Step 6: Final answer
    x = 5,281.56

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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.