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Finding the Fourth Proportional to 2,669.35, 4,004.79 and 914.59

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Solution

The fourth proportional to 2,669.35, 4,004.79 and 914.59 is: 1,372.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.35 : 4,004.79 = 914.59 : x
  2. Step 2: Convert to fraction form
    2,669.35/4,004.79 = 914.59/x
  3. Step 3: Cross multiply
    2,669.35x = 4,004.79 × 914.59
  4. Step 4: Simplify right side
    2,669.35x = 3,662,740.89
  5. Step 5: Solve for x
    x = 3,662,740.89/2,669.35
  6. Step 6: Final answer
    x = 1,372.15

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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.