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Finding the Fourth Proportional to 3,473, 5,211.68 and 1,282.76

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Solution

The fourth proportional to 3,473, 5,211.68 and 1,282.76 is: 1,924.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473 : 5,211.68 = 1,282.76 : x
  2. Step 2: Convert to fraction form
    3,473/5,211.68 = 1,282.76/x
  3. Step 3: Cross multiply
    3,473x = 5,211.68 × 1,282.76
  4. Step 4: Simplify right side
    3,473x = 6,685,334.64
  5. Step 5: Solve for x
    x = 6,685,334.64/3,473
  6. Step 6: Final answer
    x = 1,924.95

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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.