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Finding the Fourth Proportional to 5,305, 7,320.07 and 3,066.44

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Solution

The fourth proportional to 5,305, 7,320.07 and 3,066.44 is: 4,231.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305 : 7,320.07 = 3,066.44 : x
  2. Step 2: Convert to fraction form
    5,305/7,320.07 = 3,066.44/x
  3. Step 3: Cross multiply
    5,305x = 7,320.07 × 3,066.44
  4. Step 4: Simplify right side
    5,305x = 22,446,555.45
  5. Step 5: Solve for x
    x = 22,446,555.45/5,305
  6. Step 6: Final answer
    x = 4,231.21

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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.