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Finding the Fourth Proportional to 1,769.86, 2,653.71 and 1,540.90

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Solution

The fourth proportional to 1,769.86, 2,653.71 and 1,540.90 is: 2,310.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.86 : 2,653.71 = 1,540.90 : x
  2. Step 2: Convert to fraction form
    1,769.86/2,653.71 = 1,540.90/x
  3. Step 3: Cross multiply
    1,769.86x = 2,653.71 × 1,540.90
  4. Step 4: Simplify right side
    1,769.86x = 4,089,094.03
  5. Step 5: Solve for x
    x = 4,089,094.03/1,769.86
  6. Step 6: Final answer
    x = 2,310.41

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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.