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Finding the Fourth Proportional to 3,291.16, 4,936.16 and 1,511.78

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Solution

The fourth proportional to 3,291.16, 4,936.16 and 1,511.78 is: 2,267.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291.16 : 4,936.16 = 1,511.78 : x
  2. Step 2: Convert to fraction form
    3,291.16/4,936.16 = 1,511.78/x
  3. Step 3: Cross multiply
    3,291.16x = 4,936.16 × 1,511.78
  4. Step 4: Simplify right side
    3,291.16x = 7,462,387.96
  5. Step 5: Solve for x
    x = 7,462,387.96/3,291.16
  6. Step 6: Final answer
    x = 2,267.40

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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.