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Finding the Fourth Proportional to 3,139.87, 4,709.85 and 1,496.59

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Solution

The fourth proportional to 3,139.87, 4,709.85 and 1,496.59 is: 2,244.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.87 : 4,709.85 = 1,496.59 : x
  2. Step 2: Convert to fraction form
    3,139.87/4,709.85 = 1,496.59/x
  3. Step 3: Cross multiply
    3,139.87x = 4,709.85 × 1,496.59
  4. Step 4: Simplify right side
    3,139.87x = 7,048,714.41
  5. Step 5: Solve for x
    x = 7,048,714.41/3,139.87
  6. Step 6: Final answer
    x = 2,244.91

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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.