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Finding the Fourth Proportional to 1,900.02, 2,610.69 and 1,550.10

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Solution

The fourth proportional to 1,900.02, 2,610.69 and 1,550.10 is: 2,129.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.02 : 2,610.69 = 1,550.10 : x
  2. Step 2: Convert to fraction form
    1,900.02/2,610.69 = 1,550.10/x
  3. Step 3: Cross multiply
    1,900.02x = 2,610.69 × 1,550.10
  4. Step 4: Simplify right side
    1,900.02x = 4,046,830.57
  5. Step 5: Solve for x
    x = 4,046,830.57/1,900.02
  6. Step 6: Final answer
    x = 2,129.89

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.