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Finding the Fourth Proportional to 3,956, 5,934.96 and 1,220

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Solution

The fourth proportional to 3,956, 5,934.96 and 1,220 is: 1,830.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,956 : 5,934.96 = 1,220 : x
  2. Step 2: Convert to fraction form
    3,956/5,934.96 = 1,220/x
  3. Step 3: Cross multiply
    3,956x = 5,934.96 × 1,220
  4. Step 4: Simplify right side
    3,956x = 7,240,651.20
  5. Step 5: Solve for x
    x = 7,240,651.20/3,956
  6. Step 6: Final answer
    x = 1,830.30

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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.