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Finding the Fourth Proportional to 1,751.96, 2,412.65 and 1,640.79

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Solution

The fourth proportional to 1,751.96, 2,412.65 and 1,640.79 is: 2,259.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.96 : 2,412.65 = 1,640.79 : x
  2. Step 2: Convert to fraction form
    1,751.96/2,412.65 = 1,640.79/x
  3. Step 3: Cross multiply
    1,751.96x = 2,412.65 × 1,640.79
  4. Step 4: Simplify right side
    1,751.96x = 3,958,656.10
  5. Step 5: Solve for x
    x = 3,958,656.10/1,751.96
  6. Step 6: Final answer
    x = 2,259.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.