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Finding the Fourth Proportional to 3,363.84, 5,046.24 and 1,284.72

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Solution

The fourth proportional to 3,363.84, 5,046.24 and 1,284.72 is: 1,927.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,363.84 : 5,046.24 = 1,284.72 : x
  2. Step 2: Convert to fraction form
    3,363.84/5,046.24 = 1,284.72/x
  3. Step 3: Cross multiply
    3,363.84x = 5,046.24 × 1,284.72
  4. Step 4: Simplify right side
    3,363.84x = 6,483,005.45
  5. Step 5: Solve for x
    x = 6,483,005.45/3,363.84
  6. Step 6: Final answer
    x = 1,927.26

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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.