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Finding the Fourth Proportional to 1,910.51, 2,866.83 and 1,033

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Solution

The fourth proportional to 1,910.51, 2,866.83 and 1,033 is: 1,550.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,910.51 : 2,866.83 = 1,033 : x
  2. Step 2: Convert to fraction form
    1,910.51/2,866.83 = 1,033/x
  3. Step 3: Cross multiply
    1,910.51x = 2,866.83 × 1,033
  4. Step 4: Simplify right side
    1,910.51x = 2,961,435.39
  5. Step 5: Solve for x
    x = 2,961,435.39/1,910.51
  6. Step 6: Final answer
    x = 1,550.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.