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Finding the Fourth Proportional to 3,310.16, 4,966.32 and 1,578.56

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Solution

The fourth proportional to 3,310.16, 4,966.32 and 1,578.56 is: 2,368.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.16 : 4,966.32 = 1,578.56 : x
  2. Step 2: Convert to fraction form
    3,310.16/4,966.32 = 1,578.56/x
  3. Step 3: Cross multiply
    3,310.16x = 4,966.32 × 1,578.56
  4. Step 4: Simplify right side
    3,310.16x = 7,839,634.10
  5. Step 5: Solve for x
    x = 7,839,634.10/3,310.16
  6. Step 6: Final answer
    x = 2,368.36

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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.