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Finding the Fourth Proportional to 2,118.70, 3,174.58 and 2,037.70

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Solution

The fourth proportional to 2,118.70, 3,174.58 and 2,037.70 is: 3,053.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.70 : 3,174.58 = 2,037.70 : x
  2. Step 2: Convert to fraction form
    2,118.70/3,174.58 = 2,037.70/x
  3. Step 3: Cross multiply
    2,118.70x = 3,174.58 × 2,037.70
  4. Step 4: Simplify right side
    2,118.70x = 6,468,841.67
  5. Step 5: Solve for x
    x = 6,468,841.67/2,118.70
  6. Step 6: Final answer
    x = 3,053.21

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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.