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Finding the Fourth Proportional to 3,522.80, 5,284.56 and 1,214

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Solution

The fourth proportional to 3,522.80, 5,284.56 and 1,214 is: 1,821.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.80 : 5,284.56 = 1,214 : x
  2. Step 2: Convert to fraction form
    3,522.80/5,284.56 = 1,214/x
  3. Step 3: Cross multiply
    3,522.80x = 5,284.56 × 1,214
  4. Step 4: Simplify right side
    3,522.80x = 6,415,455.84
  5. Step 5: Solve for x
    x = 6,415,455.84/3,522.80
  6. Step 6: Final answer
    x = 1,821.12

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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.