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Finding the Fourth Proportional to 3,340, 5,012.16 and 1,288

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Solution

The fourth proportional to 3,340, 5,012.16 and 1,288 is: 1,932.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,340 : 5,012.16 = 1,288 : x
  2. Step 2: Convert to fraction form
    3,340/5,012.16 = 1,288/x
  3. Step 3: Cross multiply
    3,340x = 5,012.16 × 1,288
  4. Step 4: Simplify right side
    3,340x = 6,455,662.08
  5. Step 5: Solve for x
    x = 6,455,662.08/3,340
  6. Step 6: Final answer
    x = 1,932.83

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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.