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Finding the Fourth Proportional to 2,037.60, 3,051.60 and 1,384.80

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Solution

The fourth proportional to 2,037.60, 3,051.60 and 1,384.80 is: 2,073.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.60 : 3,051.60 = 1,384.80 : x
  2. Step 2: Convert to fraction form
    2,037.60/3,051.60 = 1,384.80/x
  3. Step 3: Cross multiply
    2,037.60x = 3,051.60 × 1,384.80
  4. Step 4: Simplify right side
    2,037.60x = 4,225,855.68
  5. Step 5: Solve for x
    x = 4,225,855.68/2,037.60
  6. Step 6: Final answer
    x = 2,073.94

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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.