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Finding the Fourth Proportional to 4,725, 7,087.82 and 1,605.33

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Solution

The fourth proportional to 4,725, 7,087.82 and 1,605.33 is: 2,408.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,725 : 7,087.82 = 1,605.33 : x
  2. Step 2: Convert to fraction form
    4,725/7,087.82 = 1,605.33/x
  3. Step 3: Cross multiply
    4,725x = 7,087.82 × 1,605.33
  4. Step 4: Simplify right side
    4,725x = 11,378,282.05
  5. Step 5: Solve for x
    x = 11,378,282.05/4,725
  6. Step 6: Final answer
    x = 2,408.10

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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.