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Finding the Fourth Proportional to 3,308.47, 4,965.95 and 1,578.31

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Solution

The fourth proportional to 3,308.47, 4,965.95 and 1,578.31 is: 2,369.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,308.47 : 4,965.95 = 1,578.31 : x
  2. Step 2: Convert to fraction form
    3,308.47/4,965.95 = 1,578.31/x
  3. Step 3: Cross multiply
    3,308.47x = 4,965.95 × 1,578.31
  4. Step 4: Simplify right side
    3,308.47x = 7,837,808.54
  5. Step 5: Solve for x
    x = 7,837,808.54/3,308.47
  6. Step 6: Final answer
    x = 2,369.01

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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.