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Finding the Fourth Proportional to 5,285.56, 7,919.70 and 3,739

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Solution

The fourth proportional to 5,285.56, 7,919.70 and 3,739 is: 5,602.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,285.56 : 7,919.70 = 3,739 : x
  2. Step 2: Convert to fraction form
    5,285.56/7,919.70 = 3,739/x
  3. Step 3: Cross multiply
    5,285.56x = 7,919.70 × 3,739
  4. Step 4: Simplify right side
    5,285.56x = 29,611,758.30
  5. Step 5: Solve for x
    x = 29,611,758.30/5,285.56
  6. Step 6: Final answer
    x = 5,602.39

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1.5x scale

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.